8201013760 has 80 divisors (see below), whose sum is σ = 19737966600. Its totient is φ = 3267936256.

The previous prime is 8201013731. The next prime is 8201013763. The reversal of 8201013760 is 673101028.

It can be written as a sum of positive squares in 4 ways, for example, as 3899752704 + 4301261056 = 62448^2 + 65584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8201013763) 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, 682686 + ... + 694594.

Almost surely, 2^8201013760 is an apocalyptic number.

8201013760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868983300).

8201013760 is an abundant number, since it is smaller than the sum of its proper divisors (11536952840).

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

8201013760 is a wasteful number, since it uses less digits than its factorization.

8201013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 8201013760 is about 90559.4487615732. The cubic root of 8201013760 is about 2016.6127724899.

Adding to 8201013760 its reverse (673101028), we get a palindrome (8874114788).

The spelling of 8201013760 in words is "eight billion, two hundred one million, thirteen thousand, seven hundred sixty".