76643568 has 120 divisors (see below), whose sum is σ = 228742800. Its totient is φ = 23887872.

The previous prime is 76643557. The next prime is 76643579. The reversal of 76643568 is 86534667.

It is an interprime number because it is at equal distance from previous prime (76643557) and next prime (76643579).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298096 + ... + 298352.

It is an arithmetic number, because the mean of its divisors is an integer number (1906190).

Almost surely, 2^76643568 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 76643568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114371400).

76643568 is an abundant number, since it is smaller than the sum of its proper divisors (152099232).

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

76643568 is a wasteful number, since it uses less digits than its factorization.

76643568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 76643568 is about 8754.6312315254. The cubic root of 76643568 is about 424.7746311470.

The spelling of 76643568 in words is "seventy-six million, six hundred forty-three thousand, five hundred sixty-eight".