87360800 has 36 divisors (see below), whose sum is σ = 213271506. Its totient is φ = 34944000.

The previous prime is 87360799. The next prime is 87360817. The reversal of 87360800 is 806378.

It can be written as a sum of positive squares in 3 ways, for example, as 77651344 + 9709456 = 8812^2 + 3116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53801 + ... + 55400.

Almost surely, 2^87360800 is an apocalyptic number.

87360800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87360800 is an abundant number, since it is smaller than the sum of its proper divisors (125910706).

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

87360800 is a wasteful number, since it uses less digits than its factorization.

87360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109221 (or 109208 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 87360800 is about 9346.6999523896. The cubic root of 87360800 is about 443.7164545163.

The spelling of 87360800 in words is "eighty-seven million, three hundred sixty thousand, eight hundred".