12777960 has 64 divisors (see below), whose sum is σ = 41287680. Its totient is φ = 3144960.

The previous prime is 12777943. The next prime is 12777967. The reversal of 12777960 is 6977721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 5655.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 2^12777960 is an apocalyptic number.

12777960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12777960 is an abundant number, since it is smaller than the sum of its proper divisors (28509720).

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

12777960 is a wasteful number, since it uses less digits than its factorization.

12777960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The square root of 12777960 is about 3574.6272532951. The cubic root of 12777960 is about 233.7870807751.

It can be divided in two parts, 127 and 77960, that added together give a palindrome (78087).

The spelling of 12777960 in words is "twelve million, seven hundred seventy-seven thousand, nine hundred sixty".