8720000000 has 176 divisors, whose sum is σ = 21989201520. Its totient is φ = 3456000000.

The previous prime is 8719999999. The next prime is 8720000017. The reversal of 8720000000 is 278.

It can be written as a sum of positive squares in 8 ways, for example, as 7426302976 + 1293697024 = 86176^2 + 35968^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79999946 + ... + 80000054.

It is an arithmetic number, because the mean of its divisors is an integer number (124938645).

Almost surely, 2^8720000000 is an apocalyptic number.

8720000000 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 8720000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994600760).

8720000000 is an abundant number, since it is smaller than the sum of its proper divisors (13269201520).

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

8720000000 is an frugal number, since it uses more digits than its factorization.

8720000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8720000000 is about 93380.9402394300. The cubic root of 8720000000 is about 2058.2849331430.

Adding to 8720000000 its reverse (278), we get a palindrome (8720000278).

The spelling of 8720000000 in words is "eight billion, seven hundred twenty million", and thus it is an aban number.