12766900 has 18 divisors (see below), whose sum is σ = 27704390. Its totient is φ = 5106720.

The previous prime is 12766883. The next prime is 12766903. The reversal of 12766900 is 966721.

12766900 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 781456 + 11985444 = 884^2 + 3462^2 .

It is a super-2 number, since 2×12766900² = 325987471220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12766903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63735 + ... + 63934.

Almost surely, 2^12766900 is an apocalyptic number.

12766900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12766900 is an abundant number, since it is smaller than the sum of its proper divisors (14937490).

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

12766900 is a wasteful number, since it uses less digits than its factorization.

12766900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127683 (or 127676 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 12766900 is about 3573.0799039484. The cubic root of 12766900 is about 233.7196096115.

The spelling of 12766900 in words is "twelve million, seven hundred sixty-six thousand, nine hundred".