8001820 has 24 divisors (see below), whose sum is σ = 16866864. Its totient is φ = 3188736.

The previous prime is 8001811. The next prime is 8001823. The reversal of 8001820 is 281008.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001823) 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 7 ways as a sum of consecutive naturals, for example, 6364 + ... + 7516.

It is an arithmetic number, because the mean of its divisors is an integer number (702786).

Almost surely, 2^8001820 is an apocalyptic number.

It is an amenable number.

8001820 is an abundant number, since it is smaller than the sum of its proper divisors (8865044).

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

8001820 is a wasteful number, since it uses less digits than its factorization.

8001820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8001820 is about 2828.7488400351. The cubic root of 8001820 is about 200.0151655167.

Adding to 8001820 its reverse (281008), we get a palindrome (8282828).

The spelling of 8001820 in words is "eight million, one thousand, eight hundred twenty".