879252600 has 48 divisors (see below), whose sum is σ = 2725684920. Its totient is φ = 234467200.

The previous prime is 879252587. The next prime is 879252601. The reversal of 879252600 is 6252978.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879252601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732111 + ... + 733310.

Almost surely, 2^879252600 is an apocalyptic number.

It is an amenable number.

879252600 is an abundant number, since it is smaller than the sum of its proper divisors (1846432320).

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

879252600 is a wasteful number, since it uses less digits than its factorization.

879252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465440 (or 1465431 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 879252600 is about 29652.1938480106. The cubic root of 879252600 is about 958.0125985707.

It can be divided in two parts, 87925 and 2600, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 879252600 in words is "eight hundred seventy-nine million, two hundred fifty-two thousand, six hundred".