7945920 has 168 divisors, whose sum is σ = 28529280. Its totient is φ = 2027520.

The previous prime is 7945909. The next prime is 7945937. The reversal of 7945920 is 295497.

7945920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89236 + ... + 89324.

Almost surely, 2^7945920 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 7945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

7945920 is an abundant number, since it is smaller than the sum of its proper divisors (20583360).

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

7945920 is a wasteful number, since it uses less digits than its factorization.

7945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7945920 is about 2818.8508296822. The cubic root of 7945920 is about 199.5483140001.

The spelling of 7945920 in words is "seven million, nine hundred forty-five thousand, nine hundred twenty".