76 is: • a
composite number; a square-prime, of the form (
p2, q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (22.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. ==References==