808380 has 60 divisors (see below), whose sum is σ = 2541000. Its totient is φ = 215136.

The previous prime is 808373. The next prime is 808391. The reversal of 808380 is 83808.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

808380 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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1371 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (42350).

2⁸⁰⁸³⁸⁰ 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 808380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270500).

808380 is an abundant number, since it is smaller than the sum of its proper divisors (1732620).

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

808380 is a wasteful number, since it uses less digits than its factorization.

808380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 808380 is about 899.0995495494. The cubic root of 808380 is about 93.1547890526.

The spelling of 808380 in words is "eight hundred eight thousand, three hundred eighty".