822785680800 has 108 divisors (see below), whose sum is σ = 2901348032310. Its totient is φ = 219409512960.

The previous prime is 822785680751. The next prime is 822785680807. The reversal of 822785680800 is 8086587228.

822785680800 is a `hidden beast` number, since 8 + 2 + 2 + 78 + 568 + 0 + 8 + 0 + 0 = 666.

822785680800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 304955763984 + 517829916816 = 552228^2 + 719604^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (822785680807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57130695 + ... + 57145094.

Almost surely, 2^822785680800 is an apocalyptic number.

822785680800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

822785680800 is an abundant number, since it is smaller than the sum of its proper divisors (2078562351510).

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

822785680800 is a wasteful number, since it uses less digits than its factorization.

822785680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275815 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 822785680800 in words is "eight hundred twenty-two billion, seven hundred eighty-five million, six hundred eighty thousand, eight hundred".