8379720000 has 280 divisors, whose sum is σ = 30787644800. Its totient is φ = 2234304000.

The previous prime is 8379719993. The next prime is 8379720001. The reversal of 8379720000 is 279738.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8379720001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1076121 + ... + 1083879.

Almost surely, 2^8379720000 is an apocalyptic number.

8379720000 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 8379720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393822400).

8379720000 is an abundant number, since it is smaller than the sum of its proper divisors (22407924800).

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

8379720000 is an equidigital number, since it uses as much as digits as its factorization.

8379720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8379720000 is about 91540.8105710235. The cubic root of 8379720000 is about 2031.1554812035.

Adding to 8379720000 its reverse (279738), we get a palindrome (8379999738).

The spelling of 8379720000 in words is "eight billion, three hundred seventy-nine million, seven hundred twenty thousand".