8255976960 has 640 divisors, whose sum is σ = 34393227264. Its totient is φ = 1638236160.

The previous prime is 8255976913. The next prime is 8255976973. The reversal of 8255976960 is 696795528.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8255976960² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8255976960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13600977 + ... + 13601583.

Almost surely, 2^8255976960 is an apocalyptic number.

8255976960 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 8255976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196613632).

8255976960 is an abundant number, since it is smaller than the sum of its proper divisors (26137250304).

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

8255976960 is a wasteful number, since it uses less digits than its factorization.

8255976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The square root of 8255976960 is about 90862.4067477854. The cubic root of 8255976960 is about 2021.1078587796.

The spelling of 8255976960 in words is "eight billion, two hundred fifty-five million, nine hundred seventy-six thousand, nine hundred sixty".