801800 has 48 divisors (see below), whose sum is σ = 1971600. Its totient is φ = 302400.

The previous prime is 801791. The next prime is 801809. The reversal of 801800 is 8108.

801800 = 105² + 106² + ... + 152².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (801791) and next prime (801809).

It is not an unprimeable number, because it can be changed into a prime (801809) by changing a digit.

801800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 3695 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (41075).

2⁸⁰¹⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985800).

801800 is an abundant number, since it is smaller than the sum of its proper divisors (1169800).

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

801800 is a wasteful number, since it uses less digits than its factorization.

801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 801800 is about 895.4328562209. The cubic root of 801800 is about 92.9013483521.

Adding to 801800 its reverse (8108), we get a palindrome (809908).

The spelling of 801800 in words is "eight hundred one thousand, eight hundred".