12782880 has 192 divisors, whose sum is σ = 48988800. Its totient is φ = 3087360.

The previous prime is 12782879. The next prime is 12782893. The reversal of 12782880 is 8828721.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47386 + ... + 47654.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^12782880 is an apocalyptic number.

12782880 is a gapful number since it is divisible by the number (10) 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 12782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

12782880 is an abundant number, since it is smaller than the sum of its proper divisors (36205920).

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

12782880 is a wasteful number, since it uses less digits than its factorization.

12782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 12782880 is about 3575.3153707051. The cubic root of 12782880 is about 233.8170825605.

The spelling of 12782880 in words is "twelve million, seven hundred eighty-two thousand, eight hundred eighty".