7895409920 has 72 divisors (see below), whose sum is σ = 18951117696. Its totient is φ = 3151628288.

The previous prime is 7895409911. The next prime is 7895409923. The reversal of 7895409920 is 299045987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7895409923) 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, 637709 + ... + 649971.

It is an arithmetic number, because the mean of its divisors is an integer number (263209968).

Almost surely, 2^7895409920 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 7895409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475558848).

7895409920 is an abundant number, since it is smaller than the sum of its proper divisors (11055707776).

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

7895409920 is a wasteful number, since it uses less digits than its factorization.

7895409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12787 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The square root of 7895409920 is about 88856.1192040256. The cubic root of 7895409920 is about 1991.2458987611.

The spelling of 7895409920 in words is "seven billion, eight hundred ninety-five million, four hundred nine thousand, nine hundred twenty".