8160800000 has 162 divisors, whose sum is σ = 20564437698. Its totient is φ = 3232000000.

The previous prime is 8160799943. The next prime is 8160800041. The reversal of 8160800000 is 80618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 5374649344 + 2786150656 = 73312^2 + 52784^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 80799950 + ... + 80800050.

Almost surely, 2^8160800000 is an apocalyptic number.

8160800000 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 8160800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282218849).

8160800000 is an abundant number, since it is smaller than the sum of its proper divisors (12403637698).

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

8160800000 is an frugal number, since it uses more digits than its factorization.

8160800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8160800000 is about 90337.1462909915. The cubic root of 8160800000 is about 2013.3112093042.

Adding to 8160800000 its reverse (80618), we get a palindrome (8160880618).

The spelling of 8160800000 in words is "eight billion, one hundred sixty million, eight hundred thousand".