12756480 has 160 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 3072000.

The previous prime is 12756479. The next prime is 12756487. The reversal of 12756480 is 8465721.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12756487) 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, 84405 + ... + 84555.

Almost surely, 2^12756480 is an apocalyptic number.

12756480 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 12756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

12756480 is an abundant number, since it is smaller than the sum of its proper divisors (32026368).

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

12756480 is a wasteful number, since it uses less digits than its factorization.

12756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 12756480 is about 3571.6214805043. The cubic root of 12756480 is about 233.6560070875.

The spelling of 12756480 in words is "twelve million, seven hundred fifty-six thousand, four hundred eighty".