795864960 has 512 divisors, whose sum is σ = 3172608000. Its totient is φ = 186900480.

The previous prime is 795864943. The next prime is 795864961. The reversal of 795864960 is 69468597.

795864960 is a `hidden beast` number, since 79 + 5 + 86 + 496 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 795864897 and 795864906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795864961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10074201 + ... + 10074279.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^795864960 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 795864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586304000).

795864960 is an abundant number, since it is smaller than the sum of its proper divisors (2376743040).

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

795864960 is a wasteful number, since it uses less digits than its factorization.

795864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 795864960 is about 28211.0786748752. The cubic root of 795864960 is about 926.7155734472.

The spelling of 795864960 in words is "seven hundred ninety-five million, eight hundred sixty-four thousand, nine hundred sixty".