76727306760 has 128 divisors (see below), whose sum is σ = 248192138880. Its totient is φ = 18863566848.

The previous prime is 76727306737. The next prime is 76727306801. The reversal of 76727306760 is 6760372767.

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 31 ways as a sum of consecutive naturals, for example, 1260384 + ... + 1319856.

It is an arithmetic number, because the mean of its divisors is an integer number (1939001085).

Almost surely, 2^76727306760 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 76727306760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124096069440).

76727306760 is an abundant number, since it is smaller than the sum of its proper divisors (171464832120).

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

76727306760 is a wasteful number, since it uses less digits than its factorization.

76727306760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60327 (or 60323 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 51.

The spelling of 76727306760 in words is "seventy-six billion, seven hundred twenty-seven million, three hundred six thousand, seven hundred sixty".