12760 has 32 divisors (see below), whose sum is σ = 32400. Its totient is φ = 4480.

The previous prime is 12757. The next prime is 12763. The reversal of 12760 is 6721.

12760 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12757) and next prime (12763).

12760 is an undulating number in base 12.

12760 is strictly pandigital in base 6.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12763) 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 7 ways as a sum of consecutive naturals, for example, 426 + ... + 454.

2¹²⁷⁶⁰ is an apocalyptic number.

12760 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 12760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200).

12760 is an abundant number, since it is smaller than the sum of its proper divisors (19640).

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

12760 is a wasteful number, since it uses less digits than its factorization.

12760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 12760 is about 112.9601699715. The cubic root of 12760 is about 23.3677496650.

The spelling of 12760 in words is "twelve thousand, seven hundred sixty".