802100 has 36 divisors (see below), whose sum is σ = 1877484. Its totient is φ = 295680.

The previous prime is 802073. The next prime is 802103. The reversal of 802100 is 1208.

802100 = T₁₄₉ + T₁₅₀ + ... + T₂₀₀.

802100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 289444 + 512656 = 538^2 + 716^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802103) by changing a digit.

802100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992 + ... + 1608.

2⁸⁰²¹⁰⁰ 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 802100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938742).

802100 is an abundant number, since it is smaller than the sum of its proper divisors (1075384).

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

802100 is a wasteful number, since it uses less digits than its factorization.

802100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 802100 is about 895.6003573023. The cubic root of 802100 is about 92.9129335060.

Adding to 802100 its reverse (1208), we get a palindrome (803308).

The spelling of 802100 in words is "eight hundred two thousand, one hundred".