76944085680 has 640 divisors, whose sum is σ = 323179315200. Its totient is φ = 14656204800.

The previous prime is 76944085619. The next prime is 76944085753. The reversal of 76944085680 is 8658044967.

It is a super-2 number, since 2×76944085680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 76944085680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10881186 + ... + 10888254.

It is an arithmetic number, because the mean of its divisors is an integer number (504967680).

Almost surely, 2^76944085680 is an apocalyptic number.

76944085680 is a gapful number since it is divisible by the number (70) 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 76944085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161589657600).

76944085680 is an abundant number, since it is smaller than the sum of its proper divisors (246235229520).

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

76944085680 is a wasteful number, since it uses less digits than its factorization.

76944085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 76944085680 in words is "seventy-six billion, nine hundred forty-four million, eighty-five thousand, six hundred eighty".