795205404 has 384 divisors, whose sum is σ = 2709504000. Its totient is φ = 196390656.

The previous prime is 795205387. The next prime is 795205417. The reversal of 795205404 is 404502597.

795205404 is a `hidden beast` number, since 7 + 95 + 20 + 540 + 4 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9580747 + ... + 9580829.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^795205404 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 795205404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752000).

795205404 is an abundant number, since it is smaller than the sum of its proper divisors (1914298596).

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

795205404 is a wasteful number, since it uses less digits than its factorization.

795205404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 795205404 is about 28199.3865890732. The cubic root of 795205404 is about 926.4595041512.

The spelling of 795205404 in words is "seven hundred ninety-five million, two hundred five thousand, four hundred four".