809616780960 has 288 divisors, whose sum is σ = 2813679566208. Its totient is φ = 195529052160.

The previous prime is 809616780953. The next prime is 809616780997. The reversal of 809616780960 is 69087616908.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 809616780894 and 809616780903.

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 47 ways as a sum of consecutive naturals, for example, 4205205 + ... + 4393515.

It is an arithmetic number, because the mean of its divisors is an integer number (9769720716).

Almost surely, 2^809616780960 is an apocalyptic number.

809616780960 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 809616780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406839783104).

809616780960 is an abundant number, since it is smaller than the sum of its proper divisors (2004062785248).

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

809616780960 is a wasteful number, since it uses less digits than its factorization.

809616780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188408 (or 188387 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 809616780960 in words is "eight hundred nine billion, six hundred sixteen million, seven hundred eighty thousand, nine hundred sixty".