12769768 has 48 divisors (see below), whose sum is σ = 27168480. Its totient is φ = 5580000.

The previous prime is 12769763. The next prime is 12769777. The reversal of 12769768 is 86796721.

It is a happy number.

12769768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12769763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84493 + ... + 84643.

It is an arithmetic number, because the mean of its divisors is an integer number (566010).

Almost surely, 2^12769768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12769768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584240).

12769768 is an abundant number, since it is smaller than the sum of its proper divisors (14398712).

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

12769768 is a wasteful number, since it uses less digits than its factorization.

12769768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 12769768 is about 3573.4812158454. The cubic root of 12769768 is about 233.7371094915.

It can be divided in two parts, 127697 and 68, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 12769768 in words is "twelve million, seven hundred sixty-nine thousand, seven hundred sixty-eight".