87316800 has 84 divisors (see below), whose sum is σ = 286487616. Its totient is φ = 23283200.

The previous prime is 87316793. The next prime is 87316819. The reversal of 87316800 is 861378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4296 + ... + 13895.

Almost surely, 2^87316800 is an apocalyptic number.

87316800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87316800 is an abundant number, since it is smaller than the sum of its proper divisors (199170816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87316800 is a wasteful number, since it uses less digits than its factorization.

87316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18216 (or 18201 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 87316800 is about 9344.3458840092. The cubic root of 87316800 is about 443.6419481678.

It can be divided in two parts, 87 and 316800, that multiplied together give a triangular number (27561600 = T₇₄₂₄).

The spelling of 87316800 in words is "eighty-seven million, three hundred sixteen thousand, eight hundred".