879465600 has 672 divisors, whose sum is σ = 3628869300. Its totient is φ = 209018880.

The previous prime is 879465599. The next prime is 879465611. The reversal of 879465600 is 6564978.

879465600 is a `hidden beast` number, since 87 + 9 + 4 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 173606976 + 705858624 = 13176^2 + 26568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30326386 + ... + 30326414.

Almost surely, 2^879465600 is an apocalyptic number.

879465600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814434650).

879465600 is an abundant number, since it is smaller than the sum of its proper divisors (2749403700).

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

879465600 is a wasteful number, since it uses less digits than its factorization.

879465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 879465600 is about 29655.7852703313. The cubic root of 879465600 is about 958.0899522261.

The spelling of 879465600 in words is "eight hundred seventy-nine million, four hundred sixty-five thousand, six hundred".