76 (seventy-six) is the natural number following 75 and preceding 77.

In mathematics

76 is:

  • a composite number; a square-prime, of the form (p<sup>2</sup>, q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (2<sup>2</sup>.q).
  • a Lucas number.
  • a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.
  • a nontotient.
  • a 14-gonal number.
  • a centered pentagonal number.
  • an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member.
  • with an aliquot sum of 64; within an aliquot sequence of three composite numbers (76,64,63,41,1,0) to the Prime in the 41-aliquot tree.
  • an automorphic number in base 10. It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is .

There are 76 unique compact uniform hyperbolic honeycombs in the third dimension that are generated from Wythoff constructions.

right|thumb|150px|The Bennington Flag features the number 76.

References