820495008 has 120 divisors (see below), whose sum is σ = 2518151328. Its totient is φ = 261588096.

The previous prime is 820495007. The next prime is 820495037. The reversal of 820495008 is 800594028.

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

It is not an unprimeable number, because it can be changed into a prime (820495007) 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 19 ways as a sum of consecutive naturals, for example, 52735 + ... + 66497.

Almost surely, 2^820495008 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 820495008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259075664).

820495008 is an abundant number, since it is smaller than the sum of its proper divisors (1697656320).

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

820495008 is a wasteful number, since it uses less digits than its factorization.

820495008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 820495008 is about 28644.2840371338. The cubic root of 820495008 is about 936.1784669558.

The spelling of 820495008 in words is "eight hundred twenty million, four hundred ninety-five thousand, eight".