806348844 has 144 divisors (see below), whose sum is σ = 2481792768. Its totient is φ = 224088768.

The previous prime is 806348839. The next prime is 806348861. The reversal of 806348844 is 448843608.

806348844 is a `hidden beast` number, since 8 + 0 + 634 + 8 + 8 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 806348844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250147 + ... + 253349.

It is an arithmetic number, because the mean of its divisors is an integer number (17234672).

Almost surely, 2^806348844 is an apocalyptic number.

806348844 is a gapful number since it is divisible by the number (84) 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 806348844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240896384).

806348844 is an abundant number, since it is smaller than the sum of its proper divisors (1675443924).

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

806348844 is a wasteful number, since it uses less digits than its factorization.

806348844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 806348844 is about 28396.2822214458. The cubic root of 806348844 is about 930.7670259034.

The spelling of 806348844 in words is "eight hundred six million, three hundred forty-eight thousand, eight hundred forty-four".