800845385616 has 160 divisors (see below), whose sum is σ = 2407151646720. Its totient is φ = 254438845056.

The previous prime is 800845385609. The next prime is 800845385623. The reversal of 800845385616 is 616583548008.

800845385616 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 45 + 38 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (800845385609) and next prime (800845385623).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2669485 + ... + 2954291.

It is an arithmetic number, because the mean of its divisors is an integer number (15044697792).

Almost surely, 2^800845385616 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 800845385616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203575823360).

800845385616 is an abundant number, since it is smaller than the sum of its proper divisors (1606306261104).

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

800845385616 is a wasteful number, since it uses less digits than its factorization.

800845385616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285130 (or 285118 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 800845385616 in words is "eight hundred billion, eight hundred forty-five million, three hundred eighty-five thousand, six hundred sixteen".