820480 has 36 divisors (see below), whose sum is σ = 1968372. Its totient is φ = 327680.

The previous prime is 820459. The next prime is 820481. The reversal of 820480 is 84028.

It can be written as a sum of positive squares in 2 ways, for example, as 541696 + 278784 = 736^2 + 528^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820481) by changing a digit.

820480 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 960 + ... + 1600.

It is an arithmetic number, because the mean of its divisors is an integer number (54677).

2⁸²⁰⁴⁸⁰ is an apocalyptic number.

820480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984186).

820480 is an abundant number, since it is smaller than the sum of its proper divisors (1147892).

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

820480 is an equidigital number, since it uses as much as digits as its factorization.

820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 820480 is about 905.8035107020. The cubic root of 820480 is about 93.6172758917.

The spelling of 820480 in words is "eight hundred twenty thousand, four hundred eighty".