76768512 has 72 divisors (see below), whose sum is σ = 215110560. Its totient is φ = 24238080.

The previous prime is 76768511. The next prime is 76768513. The reversal of 76768512 is 21586767.

It is an interprime number because it is at equal distance from previous prime (76768511) and next prime (76768513).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76768511) 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, 11962 + ... + 17222.

Almost surely, 2^76768512 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 76768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107555280).

76768512 is an abundant number, since it is smaller than the sum of its proper divisors (138342048).

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

76768512 is a wasteful number, since it uses less digits than its factorization.

76768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5285 counting only the distinct ones).

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

The square root of 76768512 is about 8761.7642059120. The cubic root of 76768512 is about 425.0053277302.

The spelling of 76768512 in words is "seventy-six million, seven hundred sixty-eight thousand, five hundred twelve".