76733760000 has 400 divisors, whose sum is σ = 259477615584. Its totient is φ = 20140032000.

The previous prime is 76733759989. The next prime is 76733760017. The reversal of 76733760000 is 6733767.

It is a tau number, because it is divible by the number of its divisors (400).

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 39 ways as a sum of consecutive naturals, for example, 64319404 + ... + 64320596.

Almost surely, 2^76733760000 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 76733760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129738807792).

76733760000 is an abundant number, since it is smaller than the sum of its proper divisors (182743855584).

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

76733760000 is an equidigital number, since it uses as much as digits as its factorization.

76733760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 39.

It can be divided in two parts, 7673 and 3760000, that added together give a palindrome (3767673).

The spelling of 76733760000 in words is "seventy-six billion, seven hundred thirty-three million, seven hundred sixty thousand".