795456000 has 240 divisors, whose sum is σ = 2867158008. Its totient is φ = 211968000.

The previous prime is 795455987. The next prime is 795456017. The reversal of 795456000 is 654597.

795456000 is a `hidden beast` number, since 7 + 9 + 5 + 45 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217149696 + 578306304 = 14736^2 + 24048^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 23 ways as a sum of consecutive naturals, for example, 575310 + ... + 576690.

Almost surely, 2^795456000 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 795456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433579004).

795456000 is an abundant number, since it is smaller than the sum of its proper divisors (2071702008).

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

795456000 is a wasteful number, since it uses less digits than its factorization.

795456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1391 counting only the distinct ones).

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

The square root of 795456000 is about 28203.8295272114. The cubic root of 795456000 is about 926.5568134590.

The spelling of 795456000 in words is "seven hundred ninety-five million, four hundred fifty-six thousand".