879493822800 has 480 divisors, whose sum is σ = 2966178009600. Its totient is φ = 222456299520.

The previous prime is 879493822799. The next prime is 879493822813. The reversal of 879493822800 is 8228394978.

879493822800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640562914 + ... + 640564286.

It is an arithmetic number, because the mean of its divisors is an integer number (6179537520).

Almost surely, 2^879493822800 is an apocalyptic number.

879493822800 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 879493822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483089004800).

879493822800 is an abundant number, since it is smaller than the sum of its proper divisors (2086684186800).

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

879493822800 is a wasteful number, since it uses less digits than its factorization.

879493822800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 879493822800 in words is "eight hundred seventy-nine billion, four hundred ninety-three million, eight hundred twenty-two thousand, eight hundred".