7956792000 has 336 divisors, whose sum is σ = 29524159392. Its totient is φ = 2121292800.

The previous prime is 7956791981. The next prime is 7956792001. The reversal of 7956792000 is 2976597.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7956792001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941954 + ... + 1946046.

It is an arithmetic number, because the mean of its divisors is an integer number (87869522).

Almost surely, 2^7956792000 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 7956792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762079696).

7956792000 is an abundant number, since it is smaller than the sum of its proper divisors (21567367392).

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

7956792000 is an equidigital number, since it uses as much as digits as its factorization.

7956792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 7956792000 is about 89200.8520138681. The cubic root of 7956792000 is about 1996.3928314120.

The spelling of 7956792000 in words is "seven billion, nine hundred fifty-six million, seven hundred ninety-two thousand".