87879400 has 96 divisors (see below), whose sum is σ = 239359680. Its totient is φ = 29376000.

The previous prime is 87879317. The next prime is 87879413. The reversal of 87879400 is 497878.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56635 + ... + 58165.

It is an arithmetic number, because the mean of its divisors is an integer number (2493330).

Almost surely, 2^87879400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119679840).

87879400 is an abundant number, since it is smaller than the sum of its proper divisors (151480280).

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

87879400 is a wasteful number, since it uses less digits than its factorization.

87879400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 87879400 is about 9374.4013142174. The cubic root of 87879400 is about 444.5927343136.

The spelling of 87879400 in words is "eighty-seven million, eight hundred seventy-nine thousand, four hundred".