808320 has 64 divisors (see below), whose sum is σ = 2582640. Its totient is φ = 215040.

The previous prime is 808309. The next prime is 808343. The reversal of 808320 is 23808.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1710 + ... + 2130.

2⁸⁰⁸³²⁰ is an apocalyptic number.

808320 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 808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291320).

808320 is an abundant number, since it is smaller than the sum of its proper divisors (1774320).

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

808320 is a wasteful number, since it uses less digits than its factorization.

808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 808320 is about 899.0661822135. The cubic root of 808320 is about 93.1524842679.

It can be divided in two parts, 808 and 320, that added together give a triangular number (1128 = T₄₇).

The spelling of 808320 in words is "eight hundred eight thousand, three hundred twenty".