7924080 has 80 divisors (see below), whose sum is σ = 24846624. Its totient is φ = 2088960.

The previous prime is 7924079. The next prime is 7924109. The reversal of 7924080 is 804297.

7924080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32760 + ... + 33000.

Almost surely, 2^7924080 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 7924080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423312).

7924080 is an abundant number, since it is smaller than the sum of its proper divisors (16922544).

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

7924080 is a wasteful number, since it uses less digits than its factorization.

7924080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7924080 is about 2814.9742449976. The cubic root of 7924080 is about 199.3653213791.

The spelling of 7924080 in words is "seven million, nine hundred twenty-four thousand, eighty".