7922956800 has 240 divisors, whose sum is σ = 28553877792. Its totient is φ = 1920614400.

The previous prime is 7922956739. The next prime is 7922956907. The reversal of 7922956800 is 86592297.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7922956800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413022 + ... + 431778.

Almost surely, 2^7922956800 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 7922956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276938896).

7922956800 is an abundant number, since it is smaller than the sum of its proper divisors (20630920992).

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

7922956800 is a wasteful number, since it uses less digits than its factorization.

7922956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18799 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 7922956800 is about 89010.9925795685. The cubic root of 7922956800 is about 1993.5590124407.

It can be divided in two parts, 792 and 2956800, that added together give a palindrome (2957592).

The spelling of 7922956800 in words is "seven billion, nine hundred twenty-two million, nine hundred fifty-six thousand, eight hundred".