7457920 has 64 divisors (see below), whose sum is σ = 18311040. Its totient is φ = 2903040.

The previous prime is 7457909. The next prime is 7457927. The reversal of 7457920 is 297547.

7457920 is digitally balanced in base 5, 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 (64).

It is not an unprimeable number, because it can be changed into a prime (7457927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27385 + ... + 27655.

It is an arithmetic number, because the mean of its divisors is an integer number (286110).

Almost surely, 2^7457920 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 7457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155520).

7457920 is an abundant number, since it is smaller than the sum of its proper divisors (10853120).

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

7457920 is a wasteful number, since it uses less digits than its factorization.

7457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 7457920 is about 2730.9192591507. The cubic root of 7457920 is about 195.3766116356.

The spelling of 7457920 in words is "seven million, four hundred fifty-seven thousand, nine hundred twenty".