809328280320 has 1296 divisors, whose sum is σ = 3489647616000. Its totient is φ = 172147949568.

The previous prime is 809328280309. The next prime is 809328280337. The reversal of 809328280320 is 23082823908.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 632781441 + ... + 632782719.

Almost surely, 2^809328280320 is an apocalyptic number.

809328280320 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 809328280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744823808000).

809328280320 is an abundant number, since it is smaller than the sum of its proper divisors (2680319335680).

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

809328280320 is a wasteful number, since it uses less digits than its factorization.

809328280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 809328280320 in words is "eight hundred nine billion, three hundred twenty-eight million, two hundred eighty thousand, three hundred twenty".