808821312 has 224 divisors, whose sum is σ = 2450396928. Its totient is φ = 233570304.

The previous prime is 808821283. The next prime is 808821331. The reversal of 808821312 is 213128808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4190688 + ... + 4190880.

It is an arithmetic number, because the mean of its divisors is an integer number (10939272).

Almost surely, 2^808821312 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 808821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225198464).

808821312 is an abundant number, since it is smaller than the sum of its proper divisors (1641575616).

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

808821312 is a wasteful number, since it uses less digits than its factorization.

808821312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 808821312 is about 28439.7839654242. The cubic root of 808821312 is about 931.7173770200.

The spelling of 808821312 in words is "eight hundred eight million, eight hundred twenty-one thousand, three hundred twelve".