876920857344000 has 3456 divisors, whose sum is σ = 3852758457999360. Its totient is φ = 194889203712000.

The previous prime is 876920857343959. The next prime is 876920857344013. The reversal of 876920857344000 is 443758029678.

876920857344000 is a `hidden beast` number, since 8 + 7 + 69 + 20 + 85 + 73 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 596139263265 + ... + 596139264735.

It is an arithmetic number, because the mean of its divisors is an integer number (1114802794560).

Almost surely, 2^{876920857344000} is an apocalyptic number.

876920857344000 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 876920857344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926379228999680).

876920857344000 is an abundant number, since it is smaller than the sum of its proper divisors (2975837600655360).

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

876920857344000 is an equidigital number, since it uses as much as digits as its factorization.

876920857344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 876920857344000 in words is "eight hundred seventy-six trillion, nine hundred twenty billion, eight hundred fifty-seven million, three hundred forty-four thousand".