7715920 has 40 divisors (see below), whose sum is σ = 18364896. Its totient is φ = 3013248.

The previous prime is 7715891. The next prime is 7715927. The reversal of 7715920 is 295177.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7715927) 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, 2319 + ... + 4561.

Almost surely, 2^7715920 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 7715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182448).

7715920 is an abundant number, since it is smaller than the sum of its proper divisors (10648976).

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

7715920 is a wasteful number, since it uses less digits than its factorization.

7715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 7715920 is about 2777.7544887913. The cubic root of 7715920 is about 197.6040790954.

The spelling of 7715920 in words is "seven million, seven hundred fifteen thousand, nine hundred twenty".