12764880 has 60 divisors (see below), whose sum is σ = 42871140. Its totient is φ = 3403776.

The previous prime is 12764879. The next prime is 12764887. The reversal of 12764880 is 8846721.

12764880 is a `hidden beast` number, since 1 + 2 + 7 + 648 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 6170256 = 2568^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×12764880² = 325884322828800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12764887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8145 + ... + 9584.

It is an arithmetic number, because the mean of its divisors is an integer number (714519).

Almost surely, 2^12764880 is an apocalyptic number.

12764880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12764880 is an abundant number, since it is smaller than the sum of its proper divisors (30106260).

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

12764880 is a wasteful number, since it uses less digits than its factorization.

12764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12764880 is about 3572.7972234651. The cubic root of 12764880 is about 233.7072824605.

The spelling of 12764880 in words is "twelve million, seven hundred sixty-four thousand, eight hundred eighty".