7992864 has 144 divisors (see below), whose sum is σ = 26339040. Its totient is φ = 2338560.

The previous prime is 7992857. The next prime is 7992869. The reversal of 7992864 is 4682997.

It is a happy number.

7992864 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 (144).

It is not an unprimeable number, because it can be changed into a prime (7992869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275602 + ... + 275630.

It is an arithmetic number, because the mean of its divisors is an integer number (182910).

Almost surely, 2^7992864 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 7992864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169520).

7992864 is an abundant number, since it is smaller than the sum of its proper divisors (18346176).

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

7992864 is a wasteful number, since it uses less digits than its factorization.

7992864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 7992864 is about 2827.1653648133. The cubic root of 7992864 is about 199.9405156431.

It can be divided in two parts, 799 and 2864, that added together give a palindrome (3663).

The spelling of 7992864 in words is "seven million, nine hundred ninety-two thousand, eight hundred sixty-four".