876507125760 has 768 divisors, whose sum is σ = 3596198860800. Its totient is φ = 198354272256.

The previous prime is 876507125759. The next prime is 876507125771. The reversal of 876507125760 is 67521705678.

It is a happy number.

876507125760 is a `hidden beast` number, since 8 + 7 + 6 + 50 + 7 + 12 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 876507125697 and 876507125706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199339882 + ... + 199344278.

It is an arithmetic number, because the mean of its divisors is an integer number (4682550600).

Almost surely, 2^876507125760 is an apocalyptic number.

876507125760 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 876507125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798099430400).

876507125760 is an abundant number, since it is smaller than the sum of its proper divisors (2719691735040).

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

876507125760 is a wasteful number, since it uses less digits than its factorization.

876507125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 876507125760 in words is "eight hundred seventy-six billion, five hundred seven million, one hundred twenty-five thousand, seven hundred sixty".