820287008 has 54 divisors (see below), whose sum is σ = 1661868117. Its totient is φ = 398559360.

The previous prime is 820287007. The next prime is 820287029. The reversal of 820287008 is 800782028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 555639184 + 264647824 = 23572^2 + 16268^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20252.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820287007) 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 8 ways as a sum of consecutive naturals, for example, 9882935 + ... + 9883017.

Almost surely, 2^820287008 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 820287008

820287008 is an abundant number, since it is smaller than the sum of its proper divisors (841581109).

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

820287008 is an frugal number, since it uses more digits than its factorization.

820287008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 820287008 is about 28640.6530651799. The cubic root of 820287008 is about 936.0993514722.

The spelling of 820287008 in words is "eight hundred twenty million, two hundred eighty-seven thousand, eight".