795896960 has 64 divisors (see below), whose sum is σ = 1925743680. Its totient is φ = 314502144.

The previous prime is 795896929. The next prime is 795896971. The reversal of 795896960 is 69698597.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 795896960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45629 + ... + 60611.

It is an arithmetic number, because the mean of its divisors is an integer number (30089745).

Almost surely, 2^795896960 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 795896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962871840).

795896960 is an abundant number, since it is smaller than the sum of its proper divisors (1129846720).

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

795896960 is a wasteful number, since it uses less digits than its factorization.

795896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15073 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 59.

The square root of 795896960 is about 28211.6458222487. The cubic root of 795896960 is about 926.7279936870.

The spelling of 795896960 in words is "seven hundred ninety-five million, eight hundred ninety-six thousand, nine hundred sixty".