879425164800 has 2160 divisors, whose sum is σ = 4055935403520. Its totient is φ = 184772689920.

The previous prime is 879425164763. The next prime is 879425164811. The reversal of 879425164800 is 8461524978.

It is a happy number.

879425164800 is a `hidden beast` number, since 8 + 7 + 9 + 42 + 516 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3679603081 + ... + 3679603319.

It is an arithmetic number, because the mean of its divisors is an integer number (1877747872).

Almost surely, 2^879425164800 is an apocalyptic number.

879425164800 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 879425164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027967701760).

879425164800 is an abundant number, since it is smaller than the sum of its proper divisors (3176510238720).

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

879425164800 is a wasteful number, since it uses less digits than its factorization.

879425164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 879425164800 in words is "eight hundred seventy-nine billion, four hundred twenty-five million, one hundred sixty-four thousand, eight hundred".