888 is a
base ten repdigit (a number all of whose digits are equal), and :888 = 24 \times 37. Where
37 is the 12th prime number. 888 is a
practical number, meaning that every positive integer up to 888 itself may be represented as a sum of distinct
divisors of 888. 888 is a Harshad number as it is divisible by its sum of digits, where 888 ÷ (8, 8, 8) is 888 ÷ 24, an equivalent fraction to 444 ÷ 12 or 222 ÷ 6, which is
37. 888 is equal to the sum of the first two
Giuga numbers:
30 +
858 = 888. There are exactly: • 888
trees with four unlabeled and three labeled nodes, • 888 seven-node
undirected graphs without isolated vertices, and • 888
non-alternating knots whose
crossing number is 12.
Crystagon 888 is also the 16th area of a
crystagon, equivalent with the quotient of
binomial coefficient \mathrm {C}(7n,2) and 7 with n = 16. This property permits 888 to be equivalent with: whose
edge lengths, face
areas and
volumes are all
integers; more specifically it is the second-largest longest side of a primitive Heronian tetrahedron (after
203, and preceding
1804) with four congruent triangle
faces (this
primitive Heronian tetrahedron is a tetrahedron where four edges share no common
factor).
Decimal properties 888 is the smallest multiple of twenty-four divisible by all of its digits, whose
digit sum is also itself. It is a
happy number in
decimal, meaning that repeatedly summing the squares of its digits eventually leads to 1: : 888 \mapsto 64 + 64 + 64 = 192 \mapsto 1 + 81 + 4 = 86 \mapsto 64 + 36 = 100 \mapsto 1. 8883 = 700227072 is the smallest
cube in which each digit occurs exactly three times, and the only cube in which three distinct digits each occur three times. ==Symbolism and numerology==