1799200 has 72 divisors (see below), whose sum is σ = 4757508. Its totient is φ = 660480.

The previous prime is 1799179. The next prime is 1799219. The reversal of 1799200 is 29971.

It can be written as a sum of positive squares in 6 ways, for example, as 725904 + 1073296 = 852^2 + 1036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10314 + ... + 10486.

2^1799200 is an apocalyptic number.

1799200 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 1799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378754).

1799200 is an abundant number, since it is smaller than the sum of its proper divisors (2958308).

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

1799200 is a wasteful number, since it uses less digits than its factorization.

1799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 1799200 is about 1341.3426109686. The cubic root of 1799200 is about 121.6260159017.

The spelling of 1799200 in words is "one million, seven hundred ninety-nine thousand, two hundred".