809434080 has 768 divisors, whose sum is σ = 3657830400. Its totient is φ = 162570240.

The previous prime is 809434037. The next prime is 809434081. The reversal of 809434080 is 80434908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809434081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11400445 + ... + 11400515.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^809434080 is an apocalyptic number.

809434080 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 809434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

809434080 is an abundant number, since it is smaller than the sum of its proper divisors (2848396320).

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

809434080 is a wasteful number, since it uses less digits than its factorization.

809434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 809434080 is about 28450.5550033738. Note that the first 3 decimals coincide. The cubic root of 809434080 is about 931.9526092305.

Adding to 809434080 its reverse (80434908), we get a palindrome (889868988).

The spelling of 809434080 in words is "eight hundred nine million, four hundred thirty-four thousand, eighty".