7993008 has 60 divisors (see below), whose sum is σ = 22864608. Its totient is φ = 2605440.

The previous prime is 7992973. The next prime is 7993021. The reversal of 7993008 is 8003997.

7993008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6178 + ... + 7358.

Almost surely, 2^7993008 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 7993008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11432304).

7993008 is an abundant number, since it is smaller than the sum of its proper divisors (14871600).

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

7993008 is a wasteful number, since it uses less digits than its factorization.

7993008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 7993008 is about 2827.1908319036. The cubic root of 7993008 is about 199.9417163501.

The spelling of 7993008 in words is "seven million, nine hundred ninety-three thousand, eight".