7992720 has 120 divisors (see below), whose sum is σ = 28464696. Its totient is φ = 2002944.

The previous prime is 7992701. The next prime is 7992727. The reversal of 7992720 is 272997.

7992720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 7160976 = 912^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7992727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11914 + ... + 12566.

Almost surely, 2^7992720 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 7992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14232348).

7992720 is an abundant number, since it is smaller than the sum of its proper divisors (20471976).

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

7992720 is a wasteful number, since it uses less digits than its factorization.

7992720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7992720 is about 2827.1398974936. The cubic root of 7992720 is about 199.9393149218.

The spelling of 7992720 in words is "seven million, nine hundred ninety-two thousand, seven hundred twenty".