This article is about the numbers 700 through 799; for each individual number, see its section below.
700 (seven hundred) is the natural number following 699 and preceding 701.
It is the sum of four consecutive primes (167 + 173 + 179 + 181). It is a Harshad number.
700 is also:
701 prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part
702 = 2 × 33 × 13, pronic number, nontotient, Harshad number
703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number
704 = 26 × 11, Harshad number.
705 = 3 × 5 × 47, sphenic number
706 = 2 × 353, nontotient, Smith number
707 = 7 × 101, sum of five consecutive primes (131 + 137 + 139 + 149 + 151)
708 = 22 × 3 × 59
709 prime number
710 = 2 × 5 × 71, sphenic number, nontotient, Harshad number
711 = 32 × 79. Also the phone number of Telecommunications Relay Service, commonly used by the deaf and hard-of-hearing.
712 = 23 × 89, sum of the first twenty-one primes, totient sum for first 48 integers, the number of the ambulance on the TV show Saved
714 = 2 × 3 × 7 × 17, nontotient, member of Ruth-Aaron pair (either definition) and the amount of home runs Babe Ruth scored in his career (see also 714 (disambiguation))
715 = 5 × 11 × 13, sphenic number, pentatope number, Harshad number, member of Ruth-Aaron pair (either definition)
716 = 22 × 179
717 = 3 × 239
718 = 2 × 359
719 prime number, factorial prime (6! − 1), Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part
720（seven hundred [and] twenty）= 24 × 32 × 5.
721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number
722 = 2 × 192, nontotient
723 = 3 × 241
724 = 22 × 181, sum of four consecutive primes (173 + 179 + 181 + 191), sum of six consecutive primes (107 + 109 + 113 + 127 + 131 + 137), nontotient
the number of n-Queens Problem solutions for n = 10,
725 = 52 × 29
726 = 2 × 3 × 112, pentagonal pyramidal number
727 prime number, palindromic prime, Lucky prime
728 = 23 × 7 × 13, nontotient, Smith number
729（seven hundred [and] twenty-nine） = 36 = 272.
730 = 2 × 5 × 73, sphenic number, nontotient, Harshad number
731 = 17 × 43, sum of three consecutive primes (239 + 241 + 251)
732 = 22 × 3 × 61, sum of eight consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), sum of ten consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), Harshad number
733 prime number, balanced prime, permutable prime, sum of five consecutive primes (137 + 139 + 149 + 151 + 157)
734 = 2 × 367, nontotient
735 = 3 × 5 × 72, Harshad number, Zuckerman number
736 = 25 × 23, centered heptagonal number, nice Friedman number since 736 = 7 + 36, Harshad number
737 = 11 × 67
738 = 2 × 32 × 41, Harshad number
739 prime number, strictly non-palindromic number, Lucky prime
740 = 22 × 5 × 37, nontotient
741 = 3 × 13 × 19, sphenic number, triangular number
742 = 2 × 7 × 53, sphenic number, decagonal number
743 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part
744 = 23 × 3 × 31, sum of four consecutive primes (179 + 181 + 191 + 193)
745 = 5 × 149
746 = 2 × 373, nontotient
747 = 32 × 83, model number of the Boeing 747, perhaps the most famous Boeing aircraft
748 = 22 × 11 × 17, nontotient
749 = 7 × 107, sum of three consecutive primes (241 + 251 + 257)
750（seven hundred [and] fifty）= 2 × 3 × 53, enneagonal number.
751 prime number, Chen prime
752 = 24 × 47, nontotient
753 = 3 × 251
754 = 2 × 13 × 29, sphenic number, nontotient, totient sum for first 49 integers
755 = 5 × 151. In 1976, Major League Baseball player Hank Aaron ended his career with a Major League record 755 home runs (record now held by Barry Bonds).
756 = 22 × 33 × 7, sum of six consecutive primes (109 + 113 + 127 + 131 + 137 + 139), pronic number, Harshad number
757 prime number, palindromic prime, sum of seven consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127)
758 = 2 × 379, nontotient
759 = 3 × 11 × 23, sphenic number, sum of five consecutive primes (139 + 149 + 151 + 157 + 163)
760 = 23 × 5 × 19, centered triangular number
761 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered square number
762 = 2 × 3 × 127, sphenic number, sum of four consecutive primes (181 + 191 + 193 + 197), nontotient, Smith number, see also Feynman point
763 = 7 × 109, sum of nine consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103)
764 = 22 × 191
765 = a Japanese word-play for Namco; 32 × 5 × 17
766 = 2 × 383, centered pentagonal number, nontotient
767 = 13 × 59, Thabit number (28 × 3 − 1)
768 = 28 × 3, sum of eight consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109)
769 prime number, Chen prime, lucky prime, Proth prime
770 = 2 × 5 × 7 × 11, nontotient, Harshad number
- Famous room party in New Orleans hotel room 770, giving the name to a well known science fiction fanzine called File 770
771 = 3 × 257, sum of three consecutive primes (251 + 257 + 263)
772 = 22 × 193
773 prime number, Eisenstein prime with no imaginary part, tetranacci number
774 = 2 × 32 × 43, nontotient, totient sum for first 50 integers, Harshad number
775 = 52 × 31, member of the Mian-Chowla sequence
776 = 23 × 97
777 = 3 × 7 × 37, sphenic number, Harshad number, 3333 in senary (base 6) counting. The numbers 3 and 7 are considered both "perfect numbers" under Hebrew tradition.citation needed 777 is also found in the title of the book 777 and other Qabalistic writings of Aleister Crowley.
778 = 2 × 389, nontotient, Smith number
779 = 19 × 41, highly cototient number
780 = 22 × 3 × 5 × 13, sum of four consecutive primes in a quadruplet; sum of ten consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), triangular number, hexagonal number, Harshad number
780 and 990 are the second smallest pair of triangular numbers whose sum and difference (1770 and 210) are also triangular.
781 = 11 × 71, Mertens function(781) = 0
782 = 2 × 17 × 23, sphenic number, nontotient, Harshad number, also, 782 gear used by U.S. Marines
783 = 33 × 29
784 = 24 × 72 = 282 = 13 + 23 + 33 + 43 + 53 + 63 + 73, the sum of the cubes of the first seven integers.
785 = 5 × 157, Mertens function(785) = 0
786 = 2 × 3 × 131, sphenic number. See also its use in Muslim numerological symbolism.
787 prime number, palindromic prime, sum of five consecutive primes (149 + 151 + 157 + 163 + 167), Chen prime, Lucky prime
788 = 22 × 197, nontotient
789 = 3 × 263, sum of three consecutive primes (257 + 263 + 269)
790 = 2 × 5 × 79, sphenic number, nontotient
791 = 7 × 113, sum of the first twenty-two primes, sum of seven consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131)
792 = 23 × 32 × 11, Harshad number
793 = 13 × 61, Mertens function(793) = 0, star number
794 = 2 × 397, nontotient
795 = 3 × 5 × 53, Mertens function(795) = 0
796 = 22 × 199, sum of six consecutive primes (113 + 127 + 131 + 137 + 139 + 149), Mertens function(796) = 0
797 prime number, Chen prime, Eisenstein prime with no imaginary part, palindromic prime
798 = 2 × 3 × 7 × 19, Mertens function(798) = 0, nontotient
799 = 17 × 47
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