806281344 has 256 divisors, whose sum is σ = 2632089600. Its totient is φ = 240952320.

The previous prime is 806281337. The next prime is 806281361. The reversal of 806281344 is 443182608.

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

It is a junction number, because it is equal to n+sod(n) for n = 806281299 and 806281308.

It is a congruent number.

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, 4827949 + ... + 4828115.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2^806281344 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 806281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316044800).

806281344 is an abundant number, since it is smaller than the sum of its proper divisors (1825808256).

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

806281344 is a wasteful number, since it uses less digits than its factorization.

806281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 806281344 is about 28395.0936607013. The cubic root of 806281344 is about 930.7410534690.

The spelling of 806281344 in words is "eight hundred six million, two hundred eighty-one thousand, three hundred forty-four".