7988208 has 60 divisors (see below), whose sum is σ = 21826728. Its totient is φ = 2517120.

The previous prime is 7988203. The next prime is 7988219. The reversal of 7988208 is 8028897.

It is a happy number.

It is a super-2 number, since 2×7988208² = 127622934102528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7988208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7988203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17098 + ... + 17558.

Almost surely, 2^7988208 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 7988208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913364).

7988208 is an abundant number, since it is smaller than the sum of its proper divisors (13838520).

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

7988208 is a wasteful number, since it uses less digits than its factorization.

7988208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 7988208 is about 2826.3418052316. The cubic root of 7988208 is about 199.9016850121.

The spelling of 7988208 in words is "seven million, nine hundred eighty-eight thousand, two hundred eight".