76121810856 has 384 divisors, whose sum is σ = 269411184000. Its totient is φ = 19733704704.

The previous prime is 76121810813. The next prime is 76121810867. The reversal of 76121810856 is 65801812167.

76121810856 is a `hidden beast` number, since 7 + 612 + 18 + 10 + 8 + 5 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8113240 + ... + 8122616.

It is an arithmetic number, because the mean of its divisors is an integer number (701591625).

Almost surely, 2^76121810856 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 76121810856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134705592000).

76121810856 is an abundant number, since it is smaller than the sum of its proper divisors (193289373144).

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

76121810856 is a wasteful number, since it uses less digits than its factorization.

76121810856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 76121810856 in words is "seventy-six billion, one hundred twenty-one million, eight hundred ten thousand, eight hundred fifty-six".