785580868900 has 81 divisors (see below), whose sum is σ = 1734308295993. Its totient is φ = 308868278400.

The previous prime is 785580868889. The next prime is 785580868903. The reversal of 785580868900 is 9868085587.

The square root of 785580868900 is 886330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 484741782756 + 300839086144 = 696234^2 + 548488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (785580868903) 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 26 ways as a sum of consecutive naturals, for example, 540660574 + ... + 540662026.

Almost surely, 2^785580868900 is an apocalyptic number.

785580868900 is the 886330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785580868900

785580868900 is an abundant number, since it is smaller than the sum of its proper divisors (948727427093).

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

785580868900 is an equidigital number, since it uses as much as digits as its factorization.

785580868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 64.

Multiplying 785580868900 by its sum of digits (64), we get a square (50277175609600 = 7090640²).

The spelling of 785580868900 in words is "seven hundred eighty-five billion, five hundred eighty million, eight hundred sixty-eight thousand, nine hundred".