879844492800 has 1440 divisors, whose sum is σ = 4104141193152. Its totient is φ = 174682275840.

The previous prime is 879844492759. The next prime is 879844492829. The reversal of 879844492800 is 8294448978.

879844492800 is a `hidden beast` number, since 87 + 98 + 4 + 449 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×879844492800³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178211932 + ... + 178216868.

Almost surely, 2^879844492800 is an apocalyptic number.

879844492800 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 879844492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052070596576).

879844492800 is an abundant number, since it is smaller than the sum of its proper divisors (3224296700352).

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

879844492800 is a wasteful number, since it uses less digits than its factorization.

879844492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 879844492800 in words is "eight hundred seventy-nine billion, eight hundred forty-four million, four hundred ninety-two thousand, eight hundred".