800206848 has 234 divisors, whose sum is σ = 2694871764. Its totient is φ = 228114432.

The previous prime is 800206817. The next prime is 800206853. The reversal of 800206848 is 848602008.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806115 + ... + 1806557.

It is an arithmetic number, because the mean of its divisors is an integer number (11516546).

Almost surely, 2^800206848 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 800206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347435882).

800206848 is an abundant number, since it is smaller than the sum of its proper divisors (1894664916).

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

800206848 is a wasteful number, since it uses less digits than its factorization.

800206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 800206848 is about 28287.9276017173. The cubic root of 800206848 is about 928.3977684418.

It can be divided in two parts, 80020 and 6848, that added together give a palindrome (86868).

The spelling of 800206848 in words is "eight hundred million, two hundred six thousand, eight hundred forty-eight".