1798400 has 54 divisors (see below), whose sum is σ = 4467162. Its totient is φ = 716800.

The previous prime is 1798387. The next prime is 1798409. The reversal of 1798400 is 48971.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 1597696 = 448^2 + 1264^2 .

It is not an unprimeable number, because it can be changed into a prime (1798409) 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, 6260 + ... + 6540.

2^1798400 is an apocalyptic number.

1798400 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 1798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233581).

1798400 is an abundant number, since it is smaller than the sum of its proper divisors (2668762).

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

1798400 is an equidigital number, since it uses as much as digits as its factorization.

1798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1798400 is about 1341.0443691392. The cubic root of 1798400 is about 121.6079865484.

The spelling of 1798400 in words is "one million, seven hundred ninety-eight thousand, four hundred".