12780576 has 72 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 4219776.

The previous prime is 12780557. The next prime is 12780601. The reversal of 12780576 is 67508721.

12780576 is a `hidden beast` number, since 1 + 2 + 7 + 80 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12780576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57201 + ... + 57423.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 2^12780576 is an apocalyptic number.

12780576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12780576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

12780576 is an abundant number, since it is smaller than the sum of its proper divisors (23910624).

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

12780576 is a wasteful number, since it uses less digits than its factorization.

12780576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 12780576 is about 3574.9931468466. The cubic root of 12780576 is about 233.8030339025.

The spelling of 12780576 in words is "twelve million, seven hundred eighty thousand, five hundred seventy-six".