7997504 has 56 divisors (see below), whose sum is σ = 17068800. Its totient is φ = 3709440.

The previous prime is 7997489. The next prime is 7997519. The reversal of 7997504 is 4057997.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7997489) and next prime (7997519).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57467 + ... + 57605.

It is an arithmetic number, because the mean of its divisors is an integer number (304800).

Almost surely, 2^7997504 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 7997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534400).

7997504 is an abundant number, since it is smaller than the sum of its proper divisors (9071296).

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

7997504 is a wasteful number, since it uses less digits than its factorization.

7997504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 7997504 is about 2827.9858556931. The cubic root of 7997504 is about 199.9791978364.

The spelling of 7997504 in words is "seven million, nine hundred ninety-seven thousand, five hundred four".