800532 has 36 divisors (see below), whose sum is σ = 2081716. Its totient is φ = 259200.

The previous prime is 800521. The next prime is 800533. The reversal of 800532 is 235008.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 104976 = 834^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800533) by changing a digit.

800532 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, 1032 + ... + 1632.

2⁸⁰⁰⁵³² 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 800532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040858).

800532 is an abundant number, since it is smaller than the sum of its proper divisors (1281184).

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

800532 is a wasteful number, since it uses less digits than its factorization.

800532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 800532 is about 894.7245386151. The cubic root of 800532 is about 92.8523498230.

The spelling of 800532 in words is "eight hundred thousand, five hundred thirty-two".