76564091880 has 384 divisors, whose sum is σ = 267016089600. Its totient is φ = 18983517696.

The previous prime is 76564091869. The next prime is 76564091899. The reversal of 76564091880 is 8819046567.

76564091880 is a `hidden beast` number, since 7 + 6 + 56 + 409 + 188 + 0 = 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, 43825167 + ... + 43826913.

It is an arithmetic number, because the mean of its divisors is an integer number (695354400).

Almost surely, 2^76564091880 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 76564091880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133508044800).

76564091880 is an abundant number, since it is smaller than the sum of its proper divisors (190451997720).

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

76564091880 is a wasteful number, since it uses less digits than its factorization.

76564091880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 76564091880 in words is "seventy-six billion, five hundred sixty-four million, ninety-one thousand, eight hundred eighty".