7801395360 has 384 divisors, whose sum is σ = 27695001600. Its totient is φ = 1829867520.

The previous prime is 7801395341. The next prime is 7801395373. The reversal of 7801395360 is 635931087.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24609922 + ... + 24610238.

It is an arithmetic number, because the mean of its divisors is an integer number (72122400).

Almost surely, 2^7801395360 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 7801395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847500800).

7801395360 is an abundant number, since it is smaller than the sum of its proper divisors (19893606240).

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

7801395360 is a wasteful number, since it uses less digits than its factorization.

7801395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 7801395360 is about 88325.5079804243. The cubic root of 7801395360 is about 1983.3107349229.

The spelling of 7801395360 in words is "seven billion, eight hundred one million, three hundred ninety-five thousand, three hundred sixty".