76772106760 has 128 divisors (see below), whose sum is σ = 187948408320. Its totient is φ = 28112044032.

The previous prime is 76772106739. The next prime is 76772106767. The reversal of 76772106760 is 6760127767.

It is not an unprimeable number, because it can be changed into a prime (76772106767) 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 31 ways as a sum of consecutive naturals, for example, 5202112 + ... + 5216848.

It is an arithmetic number, because the mean of its divisors is an integer number (1468346940).

Almost surely, 2^76772106760 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 76772106760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93974204160).

76772106760 is an abundant number, since it is smaller than the sum of its proper divisors (111176301560).

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

76772106760 is a wasteful number, since it uses less digits than its factorization.

76772106760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14971 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 49.

The spelling of 76772106760 in words is "seventy-six billion, seven hundred seventy-two million, one hundred six thousand, seven hundred sixty".