1288800 has 108 divisors (see below), whose sum is σ = 4570020. Its totient is φ = 341760.

The previous prime is 1288799. The next prime is 1288817. The reversal of 1288800 is 88821.

It is a super-2 number, since 2×1288800² = 3322010880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7111 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2^1288800 is an apocalyptic number.

1288800 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 1288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285010).

1288800 is an abundant number, since it is smaller than the sum of its proper divisors (3281220).

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

1288800 is a wasteful number, since it uses less digits than its factorization.

1288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1288800 is about 1135.2532757055. The cubic root of 1288800 is about 108.8249582304.

The spelling of 1288800 in words is "one million, two hundred eighty-eight thousand, eight hundred".