76888634944 has 189 divisors, whose sum is σ = 176605049761. Its totient is φ = 33185827840.

The previous prime is 76888634929. The next prime is 76888634947. The reversal of 76888634944 is 44943688867.

The square root of 76888634944 is 277288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45164750400 + 31723884544 = 212520^2 + 178112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76888634944.

It is not an unprimeable number, because it can be changed into a prime (76888634947) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 561230844 + ... + 561230980.

Almost surely, 2^76888634944 is an apocalyptic number.

76888634944 is the 277288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76888634944

76888634944 is an abundant number, since it is smaller than the sum of its proper divisors (99716414817).

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

76888634944 is a wasteful number, since it uses less digits than its factorization.

76888634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 173 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 67.

The spelling of 76888634944 in words is "seventy-six billion, eight hundred eighty-eight million, six hundred thirty-four thousand, nine hundred forty-four".