879836160 has 352 divisors, whose sum is σ = 3301401600. Its totient is φ = 199901184.

The previous prime is 879836137. The next prime is 879836219. The reversal of 879836160 is 61638978.

It is a super-2 number, since 2×879836160² = 1548223336887091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268397 + ... + 5268563.

Almost surely, 2^879836160 is an apocalyptic number.

879836160 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 879836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650700800).

879836160 is an abundant number, since it is smaller than the sum of its proper divisors (2421565440).

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

879836160 is a wasteful number, since it uses less digits than its factorization.

879836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 879836160 is about 29662.0322971977. The cubic root of 879836160 is about 958.2244960373.

The spelling of 879836160 in words is "eight hundred seventy-nine million, eight hundred thirty-six thousand, one hundred sixty".