806349872 has 40 divisors (see below), whose sum is σ = 1619092800. Its totient is φ = 388570112.

The previous prime is 806349853. The next prime is 806349877. The reversal of 806349872 is 278943608.

It is not an unprimeable number, because it can be changed into a prime (806349877) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 332408 + ... + 334824.

It is an arithmetic number, because the mean of its divisors is an integer number (40477320).

Almost surely, 2^806349872 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 806349872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809546400).

806349872 is an abundant number, since it is smaller than the sum of its proper divisors (812742928).

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

806349872 is a wasteful number, since it uses less digits than its factorization.

806349872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 806349872 is about 28396.3003224012. The cubic root of 806349872 is about 930.7674214428.

The spelling of 806349872 in words is "eight hundred six million, three hundred forty-nine thousand, eight hundred seventy-two".