12784000 has 128 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 4710400.

The previous prime is 12783977. The next prime is 12784007. The reversal of 12784000 is 48721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12784007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271977 + ... + 272023.

It is an arithmetic number, because the mean of its divisors is an integer number (268515).

Almost surely, 2^12784000 is an apocalyptic number.

12784000 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 12784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

12784000 is an abundant number, since it is smaller than the sum of its proper divisors (21585920).

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

12784000 is an equidigital number, since it uses as much as digits as its factorization.

12784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12784000 is about 3575.4719968138. The cubic root of 12784000 is about 233.8239111595.

The spelling of 12784000 in words is "twelve million, seven hundred eighty-four thousand".