795600 has 180 divisors, whose sum is σ = 3148236. Its totient is φ = 184320.

The previous prime is 795589. The next prime is 795601. The reversal of 795600 is 6597.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 767376 = 168^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46792 + ... + 46808.

2⁷⁹⁵⁶⁰⁰ 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 795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574118).

795600 is an abundant number, since it is smaller than the sum of its proper divisors (2352636).

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

795600 is a wasteful number, since it uses less digits than its factorization.

795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 795600 is about 891.9641248391. The cubic root of 795600 is about 92.6612721069.

The spelling of 795600 in words is "seven hundred ninety-five thousand, six hundred".