800020 has 48 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 276480.

The previous prime is 800011. The next prime is 800029. The reversal of 800020 is 20008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800011) and next prime (800029).

It can be written as a sum of positive squares in 8 ways, for example, as 156816 + 643204 = 396^2 + 802^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4330 + ... + 4510.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2⁸⁰⁰⁰²⁰ 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 800020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963144).

800020 is an abundant number, since it is smaller than the sum of its proper divisors (1126268).

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

800020 is a wasteful number, since it uses less digits than its factorization.

800020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 800020 is about 894.4383712699. The cubic root of 800020 is about 92.8325502639.

Adding to 800020 its reverse (20008), we get a palindrome (820028).

It can be divided in two parts, 8000 and 20, that multiplied together give a 4-th power (160000 = 20⁴).

The spelling of 800020 in words is "eight hundred thousand, twenty".