795225600 has 600 divisors, whose sum is σ = 3223309320. Its totient is φ = 192430080.

The previous prime is 795225593. The next prime is 795225619. The reversal of 795225600 is 6522597.

795225600 is a `hidden beast` number, since 7 + 95 + 2 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 13478371 + ... + 13478429.

Almost surely, 2^795225600 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 795225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611654660).

795225600 is an abundant number, since it is smaller than the sum of its proper divisors (2428083720).

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

795225600 is a wasteful number, since it uses less digits than its factorization.

795225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

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

The square root of 795225600 is about 28199.7446796952. The cubic root of 795225600 is about 926.4673472476.

The spelling of 795225600 in words is "seven hundred ninety-five million, two hundred twenty-five thousand, six hundred".