809414580 has 96 divisors (see below), whose sum is σ = 2447077248. Its totient is φ = 198720000.

The previous prime is 809414533. The next prime is 809414587. The reversal of 809414580 is 85414908.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809414587) 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 31 ways as a sum of consecutive naturals, for example, 358455 + ... + 360705.

It is an arithmetic number, because the mean of its divisors is an integer number (25490388).

Almost surely, 2^809414580 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 809414580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223538624).

809414580 is an abundant number, since it is smaller than the sum of its proper divisors (1637662668).

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

809414580 is a wasteful number, since it uses less digits than its factorization.

809414580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 809414580 is about 28450.2123014926. The cubic root of 809414580 is about 931.9451253096.

The spelling of 809414580 in words is "eight hundred nine million, four hundred fourteen thousand, five hundred eighty".