76639488 has 72 divisors (see below), whose sum is σ = 206918208. Its totient is φ = 25178112.

The previous prime is 76639481. The next prime is 76639523. The reversal of 76639488 is 88493667.

It is a super-2 number, since 2×76639488² = 11747222241804288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76639488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76639481) 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, 55381 + ... + 56747.

It is an arithmetic number, because the mean of its divisors is an integer number (2873864).

Almost surely, 2^76639488 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 76639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103459104).

76639488 is an abundant number, since it is smaller than the sum of its proper divisors (130278720).

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

76639488 is a wasteful number, since it uses less digits than its factorization.

76639488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 76639488 is about 8754.3982089005. The cubic root of 76639488 is about 424.7670936097.

The spelling of 76639488 in words is "seventy-six million, six hundred thirty-nine thousand, four hundred eighty-eight".