808020 has 54 divisors (see below), whose sum is σ = 2488122. Its totient is φ = 212256.

The previous prime is 808019. The next prime is 808021. The reversal of 808020 is 20808.

Added to its reverse (20808) it gives a triangular number (828828 = T₁₂₈₇).

It is an interprime number because it is at equal distance from previous prime (808019) and next prime (808021).

It can be written as a sum of positive squares in only one way, i.e., 646416 + 161604 = 804^2 + 402^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 807984 and 808002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12027 + ... + 12093.

2⁸⁰⁸⁰²⁰ 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 808020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244061).

808020 is an abundant number, since it is smaller than the sum of its proper divisors (1680102).

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

808020 is a wasteful number, since it uses less digits than its factorization.

808020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 808020 is about 898.8993269549. The cubic root of 808020 is about 93.1409586332.

Adding to 808020 its reverse (20808), we get a palindrome (828828).

It can be divided in two parts, 8080 and 20, that added together give a square (8100 = 90²).

The spelling of 808020 in words is "eight hundred eight thousand, twenty".