809415680 has 88 divisors (see below), whose sum is σ = 1956522600. Its totient is φ = 321290240.

The previous prime is 809415667. The next prime is 809415689. The reversal of 809415680 is 86514908.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 782209024 = 5216^2 + 27968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809415689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 762350 + ... + 763410.

Almost surely, 2^809415680 is an apocalyptic number.

809415680 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 809415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978261300).

809415680 is an abundant number, since it is smaller than the sum of its proper divisors (1147106920).

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

809415680 is a wasteful number, since it uses less digits than its factorization.

809415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 809415680 is about 28450.2316335034. The cubic root of 809415680 is about 931.9455474827.

The spelling of 809415680 in words is "eight hundred nine million, four hundred fifteen thousand, six hundred eighty".