12787680 has 48 divisors (see below), whose sum is σ = 40282704. Its totient is φ = 3409920.

The previous prime is 12787667. The next prime is 12787693. The reversal of 12787680 is 8678721.

12787680 is digitally balanced in base 2, because in such base 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 (12787667) and next prime (12787693).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12841 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (839223).

Almost surely, 2^12787680 is an apocalyptic number.

12787680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12787680 is an abundant number, since it is smaller than the sum of its proper divisors (27495024).

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

12787680 is a wasteful number, since it uses less digits than its factorization.

12787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26659 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 12787680 is about 3575.9865771560. The cubic root of 12787680 is about 233.8463451771.

The spelling of 12787680 in words is "twelve million, seven hundred eighty-seven thousand, six hundred eighty".