12759480 has 144 divisors (see below), whose sum is σ = 43996680. Its totient is φ = 3206016.

The previous prime is 12759479. The next prime is 12759497. The reversal of 12759480 is 8495721.

12759480 is a `hidden beast` number, since 127 + 59 + 480 = 666.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190407 + ... + 190473.

Almost surely, 2^12759480 is an apocalyptic number.

12759480 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 12759480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998340).

12759480 is an abundant number, since it is smaller than the sum of its proper divisors (31237200).

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

12759480 is a wasteful number, since it uses less digits than its factorization.

12759480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12759480 is about 3572.0414331304. The cubic root of 12759480 is about 233.6743223040.

The spelling of 12759480 in words is "twelve million, seven hundred fifty-nine thousand, four hundred eighty".