800832100 has 72 divisors (see below), whose sum is σ = 1806134400. Its totient is φ = 307843200.

The previous prime is 800832061. The next prime is 800832133. The reversal of 800832100 is 1238008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785391 + ... + 786409.

It is an arithmetic number, because the mean of its divisors is an integer number (25085200).

Almost surely, 2^800832100 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 800832100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903067200).

800832100 is an abundant number, since it is smaller than the sum of its proper divisors (1005302300).

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

800832100 is a wasteful number, since it uses less digits than its factorization.

800832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 800832100 is about 28298.9770133127. The cubic root of 800832100 is about 928.6395107027.

The spelling of 800832100 in words is "eight hundred million, eight hundred thirty-two thousand, one hundred".