795405600 has 432 divisors, whose sum is σ = 3122237664. Its totient is φ = 190502400.

The previous prime is 795405599. The next prime is 795405601. The reversal of 795405600 is 6504597.

795405600 is a `hidden beast` number, since 7 + 9 + 5 + 40 + 5 + 600 = 666.

795405600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (795405599) and next prime (795405601).

It is a super-2 number, since 2×795405600² = 1265340137022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (795405601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9583159 + ... + 9583241.

It is an arithmetic number, because the mean of its divisors is an integer number (7227402).

Almost surely, 2^795405600 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 795405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561118832).

795405600 is an abundant number, since it is smaller than the sum of its proper divisors (2326832064).

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

795405600 is a wasteful number, since it uses less digits than its factorization.

795405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 795405600 is about 28202.9360173724. The cubic root of 795405600 is about 926.5372442016.

The spelling of 795405600 in words is "seven hundred ninety-five million, four hundred five thousand, six hundred".