12776000 has 56 divisors (see below), whose sum is σ = 31659576. Its totient is φ = 5107200.

The previous prime is 12775991. The next prime is 12776003. The reversal of 12776000 is 67721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 11075584 = 1304^2 + 3328^2 .

It is not an unprimeable number, because it can be changed into a prime (12776003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7202 + ... + 8798.

Almost surely, 2^12776000 is an apocalyptic number.

12776000 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 12776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829788).

12776000 is an abundant number, since it is smaller than the sum of its proper divisors (18883576).

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

12776000 is an equidigital number, since it uses as much as digits as its factorization.

12776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 12776000 is about 3574.3530883224. The cubic root of 12776000 is about 233.7751266993.

The spelling of 12776000 in words is "twelve million, seven hundred seventy-six thousand".