12743760 has 80 divisors (see below), whose sum is σ = 40890240. Its totient is φ = 3279360.

The previous prime is 12743747. The next prime is 12743777. The reversal of 12743760 is 6734721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6045 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (511128).

Almost surely, 2^12743760 is an apocalyptic number.

12743760 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 12743760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445120).

12743760 is an abundant number, since it is smaller than the sum of its proper divisors (28146480).

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

12743760 is a wasteful number, since it uses less digits than its factorization.

12743760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 12743760 is about 3569.8403325639. The cubic root of 12743760 is about 233.5783186545.

The spelling of 12743760 in words is "twelve million, seven hundred forty-three thousand, seven hundred sixty".