795801960 has 144 divisors (see below), whose sum is σ = 2747803500. Its totient is φ = 199704576.

The previous prime is 795801953. The next prime is 795802019. The reversal of 795801960 is 69108597.

795801960 is a `hidden beast` number, since 7 + 9 + 580 + 1 + 9 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 347971716 + 447830244 = 18654^2 + 21162^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100216 + ... + 107864.

Almost surely, 2^795801960 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 795801960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373901750).

795801960 is an abundant number, since it is smaller than the sum of its proper divisors (1952001540).

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

795801960 is a wasteful number, since it uses less digits than its factorization.

795801960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 795801960 is about 28209.9620701624. The cubic root of 795801960 is about 926.6911201271.

The spelling of 795801960 in words is "seven hundred ninety-five million, eight hundred one thousand, nine hundred sixty".