7922720 has 72 divisors (see below), whose sum is σ = 20337156. Its totient is φ = 2915328.

The previous prime is 7922711. The next prime is 7922723. The reversal of 7922720 is 272297.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 5400976 = 1588^2 + 2324^2 .

It is a super-3 number, since 3×7922720³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7922723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26894 + ... + 27186.

Almost surely, 2^7922720 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 7922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168578).

7922720 is an abundant number, since it is smaller than the sum of its proper divisors (12414436).

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

7922720 is a wasteful number, since it uses less digits than its factorization.

7922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 7922720 is about 2814.7326693667. The cubic root of 7922720 is about 199.3539151191.

The spelling of 7922720 in words is "seven million, nine hundred twenty-two thousand, seven hundred twenty".