879058919200 has 288 divisors, whose sum is σ = 2676952914048. Its totient is φ = 273847296000.

The previous prime is 879058919177. The next prime is 879058919231. The reversal of 879058919200 is 2919850978.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226501260 + ... + 226505140.

It is an arithmetic number, because the mean of its divisors is an integer number (9294975396).

Almost surely, 2^879058919200 is an apocalyptic number.

879058919200 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 879058919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338476457024).

879058919200 is an abundant number, since it is smaller than the sum of its proper divisors (1797893994848).

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

879058919200 is a wasteful number, since it uses less digits than its factorization.

879058919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7583 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 58.

The spelling of 879058919200 in words is "eight hundred seventy-nine billion, fifty-eight million, nine hundred nineteen thousand, two hundred".