8099820001 has 81 divisors (see below), whose sum is σ = 10919473299. Its totient is φ = 5987453472.

The previous prime is 8099819971. The next prime is 8099820007. The reversal of 8099820001 is 1000289908.

The square root of 8099820001 is 89999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1198198225 + 6901621776 = 34615^2 + 83076^2 .

It is not a de Polignac number, because 8099820001 - 2⁵ = 8099819969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8099820007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 188367886 + ... + 188367928.

Almost surely, 2^8099820001 is an apocalyptic number.

8099820001 is the 89999-th square number.

8099820001 is the 45000-th centered octagonal number.

It is an amenable number.

8099820001 is a deficient number, since it is larger than the sum of its proper divisors (2819653298).

8099820001 is a wasteful number, since it uses less digits than its factorization.

8099820001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The cubic root of 8099820001 is about 2008.2839739312.

It can be divided in two parts, 8099 and 820001, that added together give a square (828100 = 910²).

The spelling of 8099820001 in words is "eight billion, ninety-nine million, eight hundred twenty thousand, one".