810420 has 48 divisors (see below), whose sum is σ = 2446080. Its totient is φ = 199296.

The previous prime is 810419. The next prime is 810427. The reversal of 810420 is 24018.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 810420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810427) 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 15 ways as a sum of consecutive naturals, for example, 261 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

2⁸¹⁰⁴²⁰ 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 810420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040).

810420 is an abundant number, since it is smaller than the sum of its proper divisors (1635660).

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

810420 is a wasteful number, since it uses less digits than its factorization.

810420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 810420 is about 900.2333030943. The cubic root of 810420 is about 93.2330839707.

Adding to 810420 its reverse (24018), we get a palindrome (834438).

The spelling of 810420 in words is "eight hundred ten thousand, four hundred twenty".