8008820 has 12 divisors (see below), whose sum is σ = 16818564. Its totient is φ = 3203520.

The previous prime is 8008811. The next prime is 8008829. The reversal of 8008820 is 288008.

It is an interprime number because it is at equal distance from previous prime (8008811) and next prime (8008829).

It can be written as a sum of positive squares in 2 ways, for example, as 2598544 + 5410276 = 1612^2 + 2326^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8008820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200201 + ... + 200240.

It is an arithmetic number, because the mean of its divisors is an integer number (1401547).

Almost surely, 2^8008820 is an apocalyptic number.

It is an amenable number.

8008820 is an abundant number, since it is smaller than the sum of its proper divisors (8809744).

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

8008820 is a wasteful number, since it uses less digits than its factorization.

8008820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400450 (or 400448 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8008820 is about 2829.9858656891. The cubic root of 8008820 is about 200.0734730053.

It can be divided in two parts, 80088 and 20, that added together give a palindrome (80108).

The spelling of 8008820 in words is "eight million, eight thousand, eight hundred twenty".