76 (seventy-six) is the natural number following 76 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 ErdÃ
ÂsâÂÂWoods 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.
References