76512768 has 80 divisors (see below), whose sum is σ = 206154960. Its totient is φ = 25214976.

The previous prime is 76512763. The next prime is 76512769. The reversal of 76512768 is 86721567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76512763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167196 + ... + 167652.

It is an arithmetic number, because the mean of its divisors is an integer number (2576937).

Almost surely, 2^76512768 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 76512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103077480).

76512768 is an abundant number, since it is smaller than the sum of its proper divisors (129642192).

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

76512768 is a wasteful number, since it uses less digits than its factorization.

76512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 76512768 is about 8747.1577097935. The cubic root of 76512768 is about 424.5328532663.

The spelling of 76512768 in words is "seventy-six million, five hundred twelve thousand, seven hundred sixty-eight".