12378784 has 72 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 5343360.

The previous prime is 12378781. The next prime is 12378787. The reversal of 12378784 is 48787321.

It is an interprime number because it is at equal distance from previous prime (12378781) and next prime (12378787).

It is not an unprimeable number, because it can be changed into a prime (12378781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88987 + ... + 89125.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 2^12378784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

12378784 is an abundant number, since it is smaller than the sum of its proper divisors (15774656).

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

12378784 is a wasteful number, since it uses less digits than its factorization.

12378784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 12378784 is about 3518.3496130999. The cubic root of 12378784 is about 231.3268238545.

The spelling of 12378784 in words is "twelve million, three hundred seventy-eight thousand, seven hundred eighty-four".