820320 has 48 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 218624.

The previous prime is 820319. The next prime is 820321. The reversal of 820320 is 23028.

820320 = T₁₆₈ + T₁₆₉ + ... + T₂₁₂.

It is an interprime number because it is at equal distance from previous prime (820319) and next prime (820321).

It is a tau number, because it is divible by the number of its divisors (48).

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 820320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

2⁸²⁰³²⁰ is an apocalyptic number.

820320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820320 is an abundant number, since it is smaller than the sum of its proper divisors (1765200).

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

820320 is a wasteful number, since it uses less digits than its factorization.

820320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1719 counting only the distinct ones).

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

The square root of 820320 is about 905.7151870207. The cubic root of 820320 is about 93.6111901297.

Adding to 820320 its reverse (23028), we get a palindrome (843348).

The spelling of 820320 in words is "eight hundred twenty thousand, three hundred twenty".