8790768 has 240 divisors, whose sum is σ = 32497920. Its totient is φ = 2239488.

The previous prime is 8790757. The next prime is 8790781. The reversal of 8790768 is 8670978.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462663 + ... + 462681.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^8790768 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 8790768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

8790768 is an abundant number, since it is smaller than the sum of its proper divisors (23707152).

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

8790768 is a wasteful number, since it uses less digits than its factorization.

8790768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8790768 is about 2964.9229332311. The cubic root of 8790768 is about 206.3838007838.

The spelling of 8790768 in words is "eight million, seven hundred ninety thousand, seven hundred sixty-eight".