795159360 has 336 divisors, whose sum is σ = 2942082000. Its totient is φ = 196411392.

The previous prime is 795159359. The next prime is 795159361. The reversal of 795159360 is 63951597.

795159360 is a `hidden beast` number, since 7 + 9 + 51 + 593 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (795159359) and next prime (795159361).

It can be written as a sum of positive squares in 8 ways, for example, as 1272384 + 793886976 = 1128^2 + 28176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795159361) 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, 5336566 + ... + 5336714.

Almost surely, 2^795159360 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 795159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471041000).

795159360 is an abundant number, since it is smaller than the sum of its proper divisors (2146922640).

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

795159360 is a wasteful number, since it uses less digits than its factorization.

795159360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 795159360 is about 28198.5701765178. The cubic root of 795159360 is about 926.4416225136.

The spelling of 795159360 in words is "seven hundred ninety-five million, one hundred fifty-nine thousand, three hundred sixty".