780872668900 has 81 divisors (see below), whose sum is σ = 1714024264827. Its totient is φ = 308789644800.

The previous prime is 780872668897. The next prime is 780872668909. The reversal of 780872668900 is 9866278087.

The square root of 780872668900 is 883670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28711946916 + 752160721984 = 169446^2 + 867272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (780872668909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 857159445 + ... + 857160355.

Almost surely, 2^780872668900 is an apocalyptic number.

780872668900 is the 883670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780872668900

780872668900 is an abundant number, since it is smaller than the sum of its proper divisors (933151595927).

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

780872668900 is an frugal number, since it uses more digits than its factorization.

780872668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 780872668900 in words is "seven hundred eighty billion, eight hundred seventy-two million, six hundred sixty-eight thousand, nine hundred".