76273182976 has 81 divisors (see below), whose sum is σ = 156423921339. Its totient is φ = 37118054400.

The previous prime is 76273182961. The next prime is 76273183001. The reversal of 76273182976 is 67928137267.

The square root of 76273182976 is 276176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70025861376 + 6247321600 = 264624^2 + 79040^2 .

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 76273182976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181171246 + ... + 181171666.

Almost surely, 2^76273182976 is an apocalyptic number.

76273182976 is the 276176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76273182976

76273182976 is an abundant number, since it is smaller than the sum of its proper divisors (80150738363).

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

76273182976 is an frugal number, since it uses more digits than its factorization.

76273182976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 464 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 58.

The spelling of 76273182976 in words is "seventy-six billion, two hundred seventy-three million, one hundred eighty-two thousand, nine hundred seventy-six".