7987008 has 56 divisors (see below), whose sum is σ = 22384512. Its totient is φ = 2504704.

The previous prime is 7986997. The next prime is 7987009. The reversal of 7987008 is 8007897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2041 + ... + 4487.

Almost surely, 2^7987008 is an apocalyptic number.

7987008 is the 1632-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192256).

7987008 is an abundant number, since it is smaller than the sum of its proper divisors (14397504).

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

7987008 is a wasteful number, since it uses less digits than its factorization.

7987008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 7987008 is about 2826.1295087097. The cubic root of 7987008 is about 199.8916746720.

The spelling of 7987008 in words is "seven million, nine hundred eighty-seven thousand, eight".