87779400 has 48 divisors (see below), whose sum is σ = 272118000. Its totient is φ = 23407680.

The previous prime is 87779399. The next prime is 87779437. The reversal of 87779400 is 497778.

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, 72550 + ... + 73749.

It is an arithmetic number, because the mean of its divisors is an integer number (5669125).

Almost surely, 2^87779400 is an apocalyptic number.

It is an amenable number.

87779400 is an abundant number, since it is smaller than the sum of its proper divisors (184338600).

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

87779400 is a wasteful number, since it uses less digits than its factorization.

87779400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146318 (or 146309 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 87779400 is about 9369.0661220850. The cubic root of 87779400 is about 444.4240328589.

The spelling of 87779400 in words is "eighty-seven million, seven hundred seventy-nine thousand, four hundred".