8205760901 has 8 divisors (see below), whose sum is σ = 8893261944. Its totient is φ = 7526301120.

The previous prime is 8205760891. The next prime is 8205760919. The reversal of 8205760901 is 1090675028.

It can be written as a sum of positive squares in 4 ways, for example, as 852698401 + 7353062500 = 29201^2 + 85750^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8205760901 - 2²⁶ = 8138652037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205760921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2008190 + ... + 2012271.

It is an arithmetic number, because the mean of its divisors is an integer number (1111657743).

Almost surely, 2^8205760901 is an apocalyptic number.

It is an amenable number.

8205760901 is a deficient number, since it is larger than the sum of its proper divisors (687501043).

8205760901 is a wasteful number, since it uses less digits than its factorization.

8205760901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020631.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 8205760901 is about 90585.6550508964. The cubic root of 8205760901 is about 2017.0018015748.

The spelling of 8205760901 in words is "eight billion, two hundred five million, seven hundred sixty thousand, nine hundred one".