12826800 has 180 divisors, whose sum is σ = 50971440. Its totient is φ = 2926080.

The previous prime is 12826799. The next prime is 12826811. The reversal of 12826800 is 862821.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 24946 + ... + 25454.

Almost surely, 2^12826800 is an apocalyptic number.

12826800 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 12826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25485720).

12826800 is an abundant number, since it is smaller than the sum of its proper divisors (38144640).

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

12826800 is a wasteful number, since it uses less digits than its factorization.

12826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12826800 is about 3581.4522194216. The cubic root of 12826800 is about 234.0845629062.

The spelling of 12826800 in words is "twelve million, eight hundred twenty-six thousand, eight hundred".