7865256960 has 528 divisors, whose sum is σ = 30349313280. Its totient is φ = 1867284480.

The previous prime is 7865256937. The next prime is 7865257013. The reversal of 7865256960 is 696525687.

It is a happy number.

7865256960 is a `hidden beast` number, since 78 + 6 + 5 + 2 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 7865256897 and 7865256906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29905789 + ... + 29906051.

It is an arithmetic number, because the mean of its divisors is an integer number (57479760).

Almost surely, 2^7865256960 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 7865256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174656640).

7865256960 is an abundant number, since it is smaller than the sum of its proper divisors (22484056320).

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

7865256960 is a wasteful number, since it uses less digits than its factorization.

7865256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 7865256960 is about 88686.2839451513. The cubic root of 7865256960 is about 1988.7077761671.

The spelling of 7865256960 in words is "seven billion, eight hundred sixty-five million, two hundred fifty-six thousand, nine hundred sixty".