879904200 has 192 divisors, whose sum is σ = 3131228160. Its totient is φ = 200229120.

The previous prime is 879904159. The next prime is 879904211. The reversal of 879904200 is 2409978.

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 47 ways as a sum of consecutive naturals, for example, 1608327 + ... + 1608873.

It is an arithmetic number, because the mean of its divisors is an integer number (16308480).

Almost surely, 2^879904200 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 879904200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565614080).

879904200 is an abundant number, since it is smaller than the sum of its proper divisors (2251323960).

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

879904200 is a wasteful number, since it uses less digits than its factorization.

879904200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 879904200 is about 29663.1791957639. The cubic root of 879904200 is about 958.2491960580.

The spelling of 879904200 in words is "eight hundred seventy-nine million, nine hundred four thousand, two hundred".