879420192 has 96 divisors (see below), whose sum is σ = 2670216192. Its totient is φ = 248219904.

The previous prime is 879420173. The next prime is 879420209. The reversal of 879420192 is 291024978.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 47893 + ... + 63659.

It is an arithmetic number, because the mean of its divisors is an integer number (27814752).

Almost surely, 2^879420192 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 879420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335108096).

879420192 is an abundant number, since it is smaller than the sum of its proper divisors (1790796000).

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

879420192 is a wasteful number, since it uses less digits than its factorization.

879420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870 (or 15862 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 879420192 is about 29655.0196762707. The cubic root of 879420192 is about 958.0734627817.

The spelling of 879420192 in words is "eight hundred seventy-nine million, four hundred twenty thousand, one hundred ninety-two".