8879256720 has 320 divisors, whose sum is σ = 32066519040. Its totient is φ = 2254044672.

The previous prime is 8879256679. The next prime is 8879256721. The reversal of 8879256720 is 276529788.

It is a happy number.

8879256720 is a `hidden beast` number, since 8 + 8 + 79 + 2 + 567 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8879256721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18232317 + ... + 18232803.

It is an arithmetic number, because the mean of its divisors is an integer number (100207872).

Almost surely, 2^8879256720 is an apocalyptic number.

8879256720 is a gapful number since it is divisible by the number (80) 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 8879256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033259520).

8879256720 is an abundant number, since it is smaller than the sum of its proper divisors (23187262320).

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

8879256720 is a wasteful number, since it uses less digits than its factorization.

8879256720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8879256720 is about 94229.8080227271. The cubic root of 8879256720 is about 2070.7398321658.

The spelling of 8879256720 in words is "eight billion, eight hundred seventy-nine million, two hundred fifty-six thousand, seven hundred twenty".