800100 has 108 divisors (see below), whose sum is σ = 2888704. Its totient is φ = 181440.

The previous prime is 800089. The next prime is 800113. The reversal of 800100 is 1008.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6237 + ... + 6363.

2⁸⁰⁰¹⁰⁰ 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 800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444352).

800100 is an abundant number, since it is smaller than the sum of its proper divisors (2088604).

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

800100 is a wasteful number, since it uses less digits than its factorization.

800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 800100 is about 894.4830909525. The cubic root of 800100 is about 92.8356445018.

Adding to 800100 its reverse (1008), we get a palindrome (801108).

It can be divided in two parts, 800 and 100, that added together give a square (900 = 30²).

The spelling of 800100 in words is "eight hundred thousand, one hundred".