808816320 has 448 divisors, whose sum is σ = 3243072000. Its totient is φ = 188116992.

The previous prime is 808816313. The next prime is 808816331. The reversal of 808816320 is 23618808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2133891 + ... + 2134269.

It is an arithmetic number, because the mean of its divisors is an integer number (7239000).

Almost surely, 2^808816320 is an apocalyptic number.

808816320 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 808816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621536000).

808816320 is an abundant number, since it is smaller than the sum of its proper divisors (2434255680).

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

808816320 is a wasteful number, since it uses less digits than its factorization.

808816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 808816320 is about 28439.6962009090. The cubic root of 808816320 is about 931.7154601802.

The spelling of 808816320 in words is "eight hundred eight million, eight hundred sixteen thousand, three hundred twenty".