795600000 has 576 divisors, whose sum is σ = 3262994280. Its totient is φ = 184320000.

The previous prime is 795599951. The next prime is 795600041. The reversal of 795600000 is 6597.

795600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 405458496 + 390141504 = 20136^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46799992 + ... + 46800008.

Almost surely, 2^795600000 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 795600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631497140).

795600000 is an abundant number, since it is smaller than the sum of its proper divisors (2467394280).

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

795600000 is a wasteful number, since it uses less digits than its factorization.

795600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 795600000 is about 28206.3822565036. The cubic root of 795600000 is about 926.6127210688.

Adding to 795600000 its reverse (6597), we get a palindrome (795606597).

The spelling of 795600000 in words is "seven hundred ninety-five million, six hundred thousand".