12707760 has 80 divisors (see below), whose sum is σ = 42434784. Its totient is φ = 3127296.

The previous prime is 12707749. The next prime is 12707777. The reversal of 12707760 is 6770721.

It is a happy number.

12707760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×12707760² = 322974328435200, which contains 22 as substring.

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

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, 1084 + ... + 5156.

Almost surely, 2^12707760 is an apocalyptic number.

12707760 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 12707760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21217392).

12707760 is an abundant number, since it is smaller than the sum of its proper divisors (29727024).

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

12707760 is a wasteful number, since it uses less digits than its factorization.

12707760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 12707760 is about 3564.7945242328. The cubic root of 12707760 is about 233.3581651577.

The spelling of 12707760 in words is "twelve million, seven hundred seven thousand, seven hundred sixty".