12776840 has 64 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 4866048.

The previous prime is 12776839. The next prime is 12776861. The reversal of 12776840 is 4867721.

12776840 = T₄₆₄ + T₄₆₅ + ... + T₅₆₀.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5943844 + 6832996 = 2438^2 + 2614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12776840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131672 + ... + 131768.

Almost surely, 2^12776840 is an apocalyptic number.

12776840 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 12776840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

12776840 is an abundant number, since it is smaller than the sum of its proper divisors (17387560).

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

12776840 is a wasteful number, since it uses less digits than its factorization.

12776840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 12776840 is about 3574.4705901714. The cubic root of 12776840 is about 233.7802500243.

It can be divided in two parts, 127 and 76840, that added together give a palindrome (76967).

The spelling of 12776840 in words is "twelve million, seven hundred seventy-six thousand, eight hundred forty".