7904256000 has 448 divisors, whose sum is σ = 27479402496. Its totient is φ = 2015232000.

The previous prime is 7904255999. The next prime is 7904256119. The reversal of 7904256000 is 6524097.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95231959 + ... + 95232041.

It is an arithmetic number, because the mean of its divisors is an integer number (61337952).

Almost surely, 2^7904256000 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 7904256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739701248).

7904256000 is an abundant number, since it is smaller than the sum of its proper divisors (19575146496).

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

7904256000 is an equidigital number, since it uses as much as digits as its factorization.

7904256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7904256000 is about 88905.8828199799. The cubic root of 7904256000 is about 1991.9892904377.

The spelling of 7904256000 in words is "seven billion, nine hundred four million, two hundred fifty-six thousand".