800562 has 32 divisors (see below), whose sum is σ = 1872000. Its totient is φ = 228144.

The previous prime is 800557. The next prime is 800573. The reversal of 800562 is 265008.

It is a happy number.

800562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is an unprimeable number.

800562 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 15 ways as a sum of consecutive naturals, for example, 1864 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁸⁰⁰⁵⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936000).

800562 is an abundant number, since it is smaller than the sum of its proper divisors (1071438).

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

800562 is a wasteful number, since it uses less digits than its factorization.

800562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 800562 is about 894.7413033945. The cubic root of 800562 is about 92.8535096916.

The spelling of 800562 in words is "eight hundred thousand, five hundred sixty-two".