879189120 has 256 divisors, whose sum is σ = 3156451200. Its totient is φ = 231247872.

The previous prime is 879189089. The next prime is 879189161. The reversal of 879189120 is 21981978.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1433934 + ... + 1434546.

Almost surely, 2^879189120 is an apocalyptic number.

879189120 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 879189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578225600).

879189120 is an abundant number, since it is smaller than the sum of its proper divisors (2277262080).

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

879189120 is a wasteful number, since it uses less digits than its factorization.

879189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 879189120 is about 29651.1234188521. The cubic root of 879189120 is about 957.9895425860.

The spelling of 879189120 in words is "eight hundred seventy-nine million, one hundred eighty-nine thousand, one hundred twenty".