809777230080 has 576 divisors, whose sum is σ = 3248076249600. Its totient is φ = 170850484224.

The previous prime is 809777230079. The next prime is 809777230117. The reversal of 809777230080 is 80032777908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17098914 + ... + 17146206.

Almost surely, 2^809777230080 is an apocalyptic number.

809777230080 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 809777230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624038124800).

809777230080 is an abundant number, since it is smaller than the sum of its proper divisors (2438299019520).

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

809777230080 is a wasteful number, since it uses less digits than its factorization.

809777230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47351 (or 47323 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 809777230080 in words is "eight hundred nine billion, seven hundred seventy-seven million, two hundred thirty thousand, eighty".