8000801 has 2 divisors, whose sum is σ = 8000802. Its totient is φ = 8000800.

The previous prime is 8000791. The next prime is 8000807. The reversal of 8000801 is 1080008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 160801 = 2800^2 + 401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8000801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8000801.

It is not a weakly prime, because it can be changed into another prime (8000807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000400 + 4000401.

It is an arithmetic number, because the mean of its divisors is an integer number (4000401).

Almost surely, 2^8000801 is an apocalyptic number.

It is an amenable number.

8000801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000801 is an equidigital number, since it uses as much as digits as its factorization.

8000801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8000801 is about 2828.5687193349. The cubic root of 8000801 is about 200.0066747772.

Adding to 8000801 its reverse (1080008), we get a palindrome (9080809).

The spelling of 8000801 in words is "eight million, eight hundred one", and thus it is an aban number.