7982304 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 2418560.

The previous prime is 7982297. The next prime is 7982323. The reversal of 7982304 is 4032897.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2724 + ... + 4835.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^7982304 is an apocalyptic number.

It is an amenable number.

7982304 is an abundant number, since it is smaller than the sum of its proper divisors (14879136).

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

7982304 is a wasteful number, since it uses less digits than its factorization.

7982304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7982304 is about 2825.2971525133. The cubic root of 7982304 is about 199.8524244674.

The spelling of 7982304 in words is "seven million, nine hundred eighty-two thousand, three hundred four".