879457446000 has 640 divisors, whose sum is σ = 3790000281600. Its totient is φ = 190437350400.

The previous prime is 879457445989. The next prime is 879457446067. The reversal of 879457446000 is 644754978.

879457446000 is a `hidden beast` number, since 8 + 7 + 9 + 4 + 574 + 4 + 60 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 7120774 + ... + 7243226.

It is an arithmetic number, because the mean of its divisors is an integer number (5921875440).

Almost surely, 2^879457446000 is an apocalyptic number.

879457446000 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 879457446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895000140800).

879457446000 is an abundant number, since it is smaller than the sum of its proper divisors (2910542835600).

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

879457446000 is a wasteful number, since it uses less digits than its factorization.

879457446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122511 (or 122489 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 879457446000 in words is "eight hundred seventy-nine billion, four hundred fifty-seven million, four hundred forty-six thousand".