76139568 has 160 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 23721984.

The previous prime is 76139563. The next prime is 76139573. The reversal of 76139568 is 86593167.

It is a happy number.

76139568 is a `hidden beast` number, since 76 + 13 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (76139563) and next prime (76139573).

Its product of digits (272160) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (76139563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784896 + ... + 784992.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 2^76139568 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 76139568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

76139568 is an abundant number, since it is smaller than the sum of its proper divisors (157178832).

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

76139568 is a wasteful number, since it uses less digits than its factorization.

76139568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 76139568 is about 8725.7989892044. The cubic root of 76139568 is about 423.8414917177.

The spelling of 76139568 in words is "seventy-six million, one hundred thirty-nine thousand, five hundred sixty-eight".