87724400 has 30 divisors (see below), whose sum is σ = 210758832. Its totient is φ = 35089600.

The previous prime is 87724367. The next prime is 87724411. The reversal of 87724400 is 442778.

It is a congruent number.

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, 109256 + ... + 110055.

Almost surely, 2^87724400 is an apocalyptic number.

87724400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87724400 is an abundant number, since it is smaller than the sum of its proper divisors (123034432).

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

87724400 is a wasteful number, since it uses less digits than its factorization.

87724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219329 (or 219318 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 87724400 is about 9366.1304710110. The cubic root of 87724400 is about 444.3311924402.

The spelling of 87724400 in words is "eighty-seven million, seven hundred twenty-four thousand, four hundred".