7988008 has 32 divisors (see below), whose sum is σ = 17380800. Its totient is φ = 3370752.

The previous prime is 7987957. The next prime is 7988009. The reversal of 7988008 is 8008897.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7988009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2688 + ... + 4816.

It is an arithmetic number, because the mean of its divisors is an integer number (543150).

Almost surely, 2^7988008 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 7988008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690400).

7988008 is an abundant number, since it is smaller than the sum of its proper divisors (9392792).

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

7988008 is a wasteful number, since it uses less digits than its factorization.

7988008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 7988008 is about 2826.3064235854. The cubic root of 7988008 is about 199.9000166917.

The spelling of 7988008 in words is "seven million, nine hundred eighty-eight thousand, eight".