809480 has 64 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 272832.

The previous prime is 809461. The next prime is 809491. The reversal of 809480 is 84908.

809480 = T₃₂₁ + T₃₂₂ + ... + T₃₃₅.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809480.

It is an unprimeable number.

809480 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 15 ways as a sum of consecutive naturals, for example, 13691 + ... + 13749.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2⁸⁰⁹⁴⁸⁰ 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 809480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080000).

809480 is an abundant number, since it is smaller than the sum of its proper divisors (1350520).

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

809480 is a wasteful number, since it uses less digits than its factorization.

809480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 809480 is about 899.7110647313. The cubic root of 809480 is about 93.1970232430.

The spelling of 809480 in words is "eight hundred nine thousand, four hundred eighty".