795816000 has 336 divisors, whose sum is σ = 3255507840. Its totient is φ = 181785600.

The previous prime is 795815989. The next prime is 795816001. The reversal of 795816000 is 618597.

795816000 is a `hidden beast` number, since 79 + 581 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (795816001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503211 + ... + 504789.

Almost surely, 2^795816000 is an apocalyptic number.

795816000 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 795816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627753920).

795816000 is an abundant number, since it is smaller than the sum of its proper divisors (2459691840).

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

795816000 is a wasteful number, since it uses less digits than its factorization.

795816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 795816000 is about 28210.2109173257. The cubic root of 795816000 is about 926.6965698359.

The spelling of 795816000 in words is "seven hundred ninety-five million, eight hundred sixteen thousand".