12775780900 has 81 divisors (see below), whose sum is σ = 28260957459. Its totient is φ = 5013106560.

The previous prime is 12775780889. The next prime is 12775780903. The reversal of 12775780900 is 908757721.

The square root of 12775780900 is 113030.

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 2658639844 + 10117141056 = 51562^2 + 100584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12775780903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100596637 + ... + 100596763.

Almost surely, 2^12775780900 is an apocalyptic number.

12775780900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12775780900 is the 113030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12775780900

12775780900 is an abundant number, since it is smaller than the sum of its proper divisors (15485176559).

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

12775780900 is an equidigital number, since it uses as much as digits as its factorization.

12775780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 46.

The spelling of 12775780900 in words is "twelve billion, seven hundred seventy-five million, seven hundred eighty thousand, nine hundred".