795611268900 has 864 divisors, whose sum is σ = 3069506539008. Its totient is φ = 168426086400.

The previous prime is 795611268863. The next prime is 795611268901. The reversal of 795611268900 is 9862116597.

795611268900 is a `hidden beast` number, since 7 + 9 + 561 + 12 + 68 + 9 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (795611268901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 932720874 + ... + 932721726.

Almost surely, 2^795611268900 is an apocalyptic number.

795611268900 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 795611268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534753269504).

795611268900 is an abundant number, since it is smaller than the sum of its proper divisors (2273895270108).

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

795611268900 is a wasteful number, since it uses less digits than its factorization.

795611268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 795611268900 in words is "seven hundred ninety-five billion, six hundred eleven million, two hundred sixty-eight thousand, nine hundred".