795747456 has 384 divisors, whose sum is σ = 2827929600. Its totient is φ = 219469824.

The previous prime is 795747437. The next prime is 795747457. The reversal of 795747456 is 654747597.

795747456 is a `hidden beast` number, since 79 + 57 + 474 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (795747457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6265665 + ... + 6265791.

It is an arithmetic number, because the mean of its divisors is an integer number (7364400).

Almost surely, 2^795747456 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 795747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413964800).

795747456 is an abundant number, since it is smaller than the sum of its proper divisors (2032182144).

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

795747456 is a wasteful number, since it uses less digits than its factorization.

795747456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 795747456 is about 28208.9960119108. The cubic root of 795747456 is about 926.6699634707.

The spelling of 795747456 in words is "seven hundred ninety-five million, seven hundred forty-seven thousand, four hundred fifty-six".