800442 has 36 divisors (see below), whose sum is σ = 1830426. Its totient is φ = 262440.

The previous prime is 800441. The next prime is 800447. The reversal of 800442 is 244008.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 6561 = 891^2 + 81^2 .

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

It is not an unprimeable number, because it can be changed into a prime (800441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13092 + ... + 13152.

2⁸⁰⁰⁴⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915213).

800442 is an abundant number, since it is smaller than the sum of its proper divisors (1029984).

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

800442 is an frugal number, since it uses more digits than its factorization.

800442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 800442 is about 894.6742423922. The cubic root of 800442 is about 92.8488700435.

The spelling of 800442 in words is "eight hundred thousand, four hundred forty-two".