879167520 has 480 divisors, whose sum is σ = 3872727936. Its totient is φ = 182476800.

The previous prime is 879167519. The next prime is 879167573. The reversal of 879167520 is 25761978.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 997480 + ... + 998360.

Almost surely, 2^879167520 is an apocalyptic number.

879167520 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 879167520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936363968).

879167520 is an abundant number, since it is smaller than the sum of its proper divisors (2993560416).

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

879167520 is a wasteful number, since it uses less digits than its factorization.

879167520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 879167520 is about 29650.7591808372. The cubic root of 879167520 is about 957.9816971964.

The spelling of 879167520 in words is "eight hundred seventy-nine million, one hundred sixty-seven thousand, five hundred twenty".