7922304 has 144 divisors (see below), whose sum is σ = 25664730. Its totient is φ = 2331648.

The previous prime is 7922303. The next prime is 7922309. The reversal of 7922304 is 4032297.

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 304704 = 2760^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7922303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 344437 + ... + 344459.

Almost surely, 2^7922304 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 7922304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832365).

7922304 is an abundant number, since it is smaller than the sum of its proper divisors (17742426).

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

7922304 is a wasteful number, since it uses less digits than its factorization.

7922304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7922304 is about 2814.6587715032. The cubic root of 7922304 is about 199.3504258847.

The spelling of 7922304 in words is "seven million, nine hundred twenty-two thousand, three hundred four".