879715200 has 768 divisors, whose sum is σ = 3824755200. Its totient is φ = 172523520.

The previous prime is 879715169. The next prime is 879715211. The reversal of 879715200 is 2517978.

It is a super-2 number, since 2×879715200² = 1547797666222080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16598374 + ... + 16598426.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^879715200 is an apocalyptic number.

879715200 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 879715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

879715200 is an abundant number, since it is smaller than the sum of its proper divisors (2945040000).

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

879715200 is a wasteful number, since it uses less digits than its factorization.

879715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 879715200 is about 29659.9932569109. The cubic root of 879715200 is about 958.1805817449.

The spelling of 879715200 in words is "eight hundred seventy-nine million, seven hundred fifteen thousand, two hundred".