7791385320 has 192 divisors, whose sum is σ = 25696681920. Its totient is φ = 2047168512.

The previous prime is 7791385319. The next prime is 7791385321. The reversal of 7791385320 is 235831977.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7791385319) and next prime (7791385321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7791385321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12116919 + ... + 12117561.

It is an arithmetic number, because the mean of its divisors is an integer number (133836885).

Almost surely, 2^7791385320 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 7791385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848340960).

7791385320 is an abundant number, since it is smaller than the sum of its proper divisors (17905296600).

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

7791385320 is a wasteful number, since it uses less digits than its factorization.

7791385320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7791385320 is about 88268.8241679926. The cubic root of 7791385320 is about 1982.4621039568.

The spelling of 7791385320 in words is "seven billion, seven hundred ninety-one million, three hundred eighty-five thousand, three hundred twenty".