803220 has 48 divisors (see below), whose sum is σ = 2455488. Its totient is φ = 194560.

The previous prime is 803207. The next prime is 803227. The reversal of 803220 is 22308.

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 803220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803227) by changing a digit.

803220 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 15 ways as a sum of consecutive naturals, for example, 52 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (51156).

2⁸⁰³²²⁰ 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 803220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227744).

803220 is an abundant number, since it is smaller than the sum of its proper divisors (1652268).

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

803220 is a wasteful number, since it uses less digits than its factorization.

803220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 803220 is about 896.2254180729. The cubic root of 803220 is about 92.9561592416.

Adding to 803220 its reverse (22308), we get a palindrome (825528).

The spelling of 803220 in words is "eight hundred three thousand, two hundred twenty".