8840772864 has 720 divisors, whose sum is σ = 33833923200. Its totient is φ = 2275983360.

The previous prime is 8840772841. The next prime is 8840772877. The reversal of 8840772864 is 4682770488.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8840772864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78236872 + ... + 78236984.

It is an arithmetic number, because the mean of its divisors is an integer number (46991560).

Almost surely, 2^8840772864 is an apocalyptic number.

8840772864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8840772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916961600).

8840772864 is an abundant number, since it is smaller than the sum of its proper divisors (24993150336).

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

8840772864 is a wasteful number, since it uses less digits than its factorization.

8840772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 8840772864 is about 94025.3841470483. The cubic root of 8840772864 is about 2067.7438809252.

The spelling of 8840772864 in words is "eight billion, eight hundred forty million, seven hundred seventy-two thousand, eight hundred sixty-four".