808480 has 48 divisors (see below), whose sum is σ = 1983744. Its totient is φ = 311040.

The previous prime is 808459. The next prime is 808481. The reversal of 808480 is 84808.

808480 = T₂₁₇ + T₂₁₈ + ... + T₂₄₆.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808481) by changing a digit.

808480 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 7 ways as a sum of consecutive naturals, for example, 4879 + ... + 5041.

It is an arithmetic number, because the mean of its divisors is an integer number (41328).

2⁸⁰⁸⁴⁸⁰ is an apocalyptic number.

808480 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 808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991872).

808480 is an abundant number, since it is smaller than the sum of its proper divisors (1175264).

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

808480 is a wasteful number, since it uses less digits than its factorization.

808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 808480 is about 899.1551590243. The cubic root of 808480 is about 93.1586301071.

The spelling of 808480 in words is "eight hundred eight thousand, four hundred eighty".