804420 has 72 divisors (see below), whose sum is σ = 2522520. Its totient is φ = 207360.

The previous prime is 804409. The next prime is 804443. The reversal of 804420 is 24408.

Added to its reverse (24408) it gives a triangular number (828828 = T₁₂₈₇).

804420 = T₅ + T₆ + ... + T₁₆₈.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 788544 = 126^2 + 888^2 .

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 = 804393 and 804402.

It is a congruent number.

It is an unprimeable number.

804420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7326 + ... + 7434.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2⁸⁰⁴⁴²⁰ 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 804420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261260).

804420 is an abundant number, since it is smaller than the sum of its proper divisors (1718100).

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

804420 is a wasteful number, since it uses less digits than its factorization.

804420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

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

The square root of 804420 is about 896.8946426420. The cubic root of 804420 is about 93.0024279630.

Adding to 804420 its reverse (24408), we get a palindrome (828828).

The spelling of 804420 in words is "eight hundred four thousand, four hundred twenty".