76106870976 has 224 divisors, whose sum is σ = 210280105728. Its totient is φ = 24275865600.

The previous prime is 76106870897. The next prime is 76106871013. The reversal of 76106870976 is 67907860167.

It is a super-2 number, since 2×76106870976² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89222166 + ... + 89223018.

It is an arithmetic number, because the mean of its divisors is an integer number (938750472).

Almost surely, 2^76106870976 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 76106870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105140052864).

76106870976 is an abundant number, since it is smaller than the sum of its proper divisors (134173234752).

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

76106870976 is a wasteful number, since it uses less digits than its factorization.

76106870976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 76106870976 in words is "seventy-six billion, one hundred six million, eight hundred seventy thousand, nine hundred seventy-six".