1256800 has 36 divisors (see below), whose sum is σ = 3070116. Its totient is φ = 502400.

The previous prime is 1256797. The next prime is 1256809. The reversal of 1256800 is 86521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (85281).

2^1256800 is an apocalyptic number.

1256800 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 1256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535058).

1256800 is an abundant number, since it is smaller than the sum of its proper divisors (1813316).

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

1256800 is a wasteful number, since it uses less digits than its factorization.

1256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1256800 is about 1121.0709165793. The cubic root of 1256800 is about 107.9167167719.

The spelling of 1256800 in words is "one million, two hundred fifty-six thousand, eight hundred".