879793152 has 176 divisors, whose sum is σ = 2707149312. Its totient is φ = 248832000.

The previous prime is 879793139. The next prime is 879793181. The reversal of 879793152 is 251397978.

It is a junction number, because it is equal to n+sod(n) for n = 879793095 and 879793104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505027 + ... + 3505277.

Almost surely, 2^879793152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353574656).

879793152 is an abundant number, since it is smaller than the sum of its proper divisors (1827356160).

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

879793152 is a wasteful number, since it uses less digits than its factorization.

879793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The square root of 879793152 is about 29661.3073211549. The cubic root of 879793152 is about 958.2088825278.

The spelling of 879793152 in words is "eight hundred seventy-nine million, seven hundred ninety-three thousand, one hundred fifty-two".