7922257920 has 208 divisors, whose sum is σ = 28166555520. Its totient is φ = 2112454656.

The previous prime is 7922257919. The next prime is 7922257927. The reversal of 7922257920 is 297522297.

It is a happy number.

7922257920 is a `hidden beast` number, since 79 + 2 + 2 + 2 + 579 + 2 + 0 = 666.

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 (7922257927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545797 + ... + 560123.

Almost surely, 2^7922257920 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 7922257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083277760).

7922257920 is an abundant number, since it is smaller than the sum of its proper divisors (20244297600).

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

7922257920 is a wasteful number, since it uses less digits than its factorization.

7922257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14365 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7922257920 is about 89007.0666857413. The cubic root of 7922257920 is about 1993.5003937740.

The spelling of 7922257920 in words is "seven billion, nine hundred twenty-two million, two hundred fifty-seven thousand, nine hundred twenty".