879525964800 has 1584 divisors, whose sum is σ = 3778520159232. Its totient is φ = 191279923200.

The previous prime is 879525964799. The next prime is 879525964817. The reversal of 879525964800 is 8469525978.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3107865459 + ... + 3107865741.

Almost surely, 2^879525964800 is an apocalyptic number.

879525964800 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 879525964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889260079616).

879525964800 is an abundant number, since it is smaller than the sum of its proper divisors (2898994194432).

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

879525964800 is a wasteful number, since it uses less digits than its factorization.

879525964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 879525964800 in words is "eight hundred seventy-nine billion, five hundred twenty-five million, nine hundred sixty-four thousand, eight hundred".