879404160 has 128 divisors (see below), whose sum is σ = 2879092800. Its totient is φ = 228151296.

The previous prime is 879404159. The next prime is 879404161. The reversal of 879404160 is 61404978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (879404159) and next prime (879404161).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (879404161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64851 + ... + 77229.

Almost surely, 2^879404160 is an apocalyptic number.

879404160 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 879404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439546400).

879404160 is an abundant number, since it is smaller than the sum of its proper divisors (1999688640).

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

879404160 is a wasteful number, since it uses less digits than its factorization.

879404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12438 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 879404160 is about 29654.7493666698. The cubic root of 879404160 is about 958.0676407916.

The spelling of 879404160 in words is "eight hundred seventy-nine million, four hundred four thousand, one hundred sixty".