806300352 has 336 divisors, whose sum is σ = 2811231360. Its totient is φ = 224640000.

The previous prime is 806300329. The next prime is 806300357. The reversal of 806300352 is 253003608.

806300352 is a `hidden beast` number, since 8 + 0 + 6 + 300 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (806300357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3212227 + ... + 3212477.

It is an arithmetic number, because the mean of its divisors is an integer number (8366760).

Almost surely, 2^806300352 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 806300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405615680).

806300352 is an abundant number, since it is smaller than the sum of its proper divisors (2004931008).

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

806300352 is a wasteful number, since it uses less digits than its factorization.

806300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 806300352 is about 28395.4283644392. The cubic root of 806300352 is about 930.7483674531.

The spelling of 806300352 in words is "eight hundred six million, three hundred thousand, three hundred fifty-two".