876766047994368 has 640 divisors, whose sum is σ = 3005938521907200. Its totient is φ = 247140149428224.

The previous prime is 876766047994217. The next prime is 876766047994423. The reversal of 876766047994368 is 863499740667678.

It is a happy number.

876766047994368 is a `hidden beast` number, since 8 + 7 + 6 + 76 + 6 + 0 + 479 + 9 + 4 + 3 + 68 = 666.

It is a super-2 number, since 2×876766047994368² (a number of 31 digits) contains 22 as substring.

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, 9915095371 + ... + 9915183797.

It is an arithmetic number, because the mean of its divisors is an integer number (4696778940480).

Almost surely, 2^{876766047994368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876766047994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502969260953600).

876766047994368 is an abundant number, since it is smaller than the sum of its proper divisors (2129172473912832).

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

876766047994368 is a wasteful number, since it uses less digits than its factorization.

876766047994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89837 (or 89815 counting only the distinct ones).

The product of its (nonzero) digits is 110612791296, while the sum is 90.

The spelling of 876766047994368 in words is "eight hundred seventy-six trillion, seven hundred sixty-six billion, forty-seven million, nine hundred ninety-four thousand, three hundred sixty-eight".