8000180 has 12 divisors (see below), whose sum is σ = 16800420. Its totient is φ = 3200064.

The previous prime is 8000173. The next prime is 8000189. The reversal of 8000180 is 810008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5579044 + 2421136 = 2362^2 + 1556^2 .

8000180 is a modest number, since divided by 180 gives 80 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000189) 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 3 ways as a sum of consecutive naturals, for example, 199985 + ... + 200024.

It is an arithmetic number, because the mean of its divisors is an integer number (1400035).

Almost surely, 2^8000180 is an apocalyptic number.

It is an amenable number.

8000180 is an abundant number, since it is smaller than the sum of its proper divisors (8800240).

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

8000180 is a wasteful number, since it uses less digits than its factorization.

8000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400018 (or 400016 counting only the distinct ones).

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

The square root of 8000180 is about 2828.4589443724. The cubic root of 8000180 is about 200.0014999888.

Adding to 8000180 its reverse (810008), we get a palindrome (8810188).

It can be divided in two parts, 8000 and 180, that multiplied together give a square (1440000 = 1200²).

The spelling of 8000180 in words is "eight million, one hundred eighty", and thus it is an aban number.