1728800 has 36 divisors (see below), whose sum is σ = 4222386. Its totient is φ = 691200.

The previous prime is 1728773. The next prime is 1728809. The reversal of 1728800 is 88271.

It can be written as a sum of positive squares in 3 ways, for example, as 1373584 + 355216 = 1172^2 + 596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1728800.

It is not an unprimeable number, because it can be changed into a prime (1728809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281 + ... + 1880.

2^1728800 is an apocalyptic number.

1728800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728800 is an abundant number, since it is smaller than the sum of its proper divisors (2493586).

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

1728800 is a wasteful number, since it uses less digits than its factorization.

1728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1728800 is about 1314.8383931115. The cubic root of 1728800 is about 120.0185156615.

The spelling of 1728800 in words is "one million, seven hundred twenty-eight thousand, eight hundred".