795312000 has 512 divisors, whose sum is σ = 3360614400. Its totient is φ = 181094400.

The previous prime is 795311987. The next prime is 795312053. The reversal of 795312000 is 213597.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023869 + ... + 3024131.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2^795312000 is an apocalyptic number.

795312000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680307200).

795312000 is an abundant number, since it is smaller than the sum of its proper divisors (2565302400).

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

795312000 is a wasteful number, since it uses less digits than its factorization.

795312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 280 counting only the distinct ones).

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

The square root of 795312000 is about 28201.2765668507. The cubic root of 795312000 is about 926.5008991017.

Adding to 795312000 its reverse (213597), we get a palindrome (795525597).

The spelling of 795312000 in words is "seven hundred ninety-five million, three hundred twelve thousand".