7992960 has 128 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 2027520.

The previous prime is 7992923. The next prime is 7992973. The reversal of 7992960 is 692997.

7992960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44070 + ... + 44250.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^7992960 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 7992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7992960 is an abundant number, since it is smaller than the sum of its proper divisors (18739200).

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

7992960 is a wasteful number, since it uses less digits than its factorization.

7992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 7992960 is about 2827.1823428990. The cubic root of 7992960 is about 199.9413161160.

It can be divided in two parts, 79 and 92960, that added together give a palindrome (93039).

The spelling of 7992960 in words is "seven million, nine hundred ninety-two thousand, nine hundred sixty".