12776400 has 360 divisors, whose sum is σ = 56276160. Its totient is φ = 2695680.

The previous prime is 12776383. The next prime is 12776411. The reversal of 12776400 is 467721.

12776400 is a `hidden beast` number, since 12 + 7 + 7 + 640 + 0 = 666.

12776400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 982794 + ... + 982806.

Almost surely, 2^12776400 is an apocalyptic number.

12776400 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 12776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28138080).

12776400 is an abundant number, since it is smaller than the sum of its proper divisors (43499760).

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

12776400 is a wasteful number, since it uses less digits than its factorization.

12776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12776400 is about 3574.4090420656. The cubic root of 12776400 is about 233.7775664059. Note that the first 3 decimals are identical.

The spelling of 12776400 in words is "twelve million, seven hundred seventy-six thousand, four hundred".