795495168 has 270 divisors, whose sum is σ = 2579836644. Its totient is φ = 243689472.

The previous prime is 795495167. The next prime is 795495187. The reversal of 795495168 is 861594597.

795495168 is a `hidden beast` number, since 7 + 95 + 495 + 1 + 68 = 666.

It is a super-2 number, since 2×795495168² = 1265625124622696448, which contains 22 as substring.

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 (795495167) 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 29 ways as a sum of consecutive naturals, for example, 3504271 + ... + 3504497.

Almost surely, 2^795495168 is an apocalyptic number.

795495168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289918322).

795495168 is an abundant number, since it is smaller than the sum of its proper divisors (1784341476).

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

795495168 is a wasteful number, since it uses less digits than its factorization.

795495168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 795495168 is about 28204.5238924538. The cubic root of 795495168 is about 926.5720209969.

The spelling of 795495168 in words is "seven hundred ninety-five million, four hundred ninety-five thousand, one hundred sixty-eight".