12792000 has 224 divisors, whose sum is σ = 46597824. Its totient is φ = 3072000.

The previous prime is 12791983. The next prime is 12792011. The reversal of 12792000 is 29721.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311980 + ... + 312020.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 2^12792000 is an apocalyptic number.

12792000 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 12792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

12792000 is an abundant number, since it is smaller than the sum of its proper divisors (33805824).

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

12792000 is a wasteful number, since it uses less digits than its factorization.

12792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12792000 is about 3576.5905552635. The cubic root of 12792000 is about 233.8726752717.

The spelling of 12792000 in words is "twelve million, seven hundred ninety-two thousand".