8079819120 has 160 divisors (see below), whose sum is σ = 27863841600. Its totient is φ = 2152037376.

The previous prime is 8079819091. The next prime is 8079819127. The reversal of 8079819120 is 219189708.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8079819127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2393754 + ... + 2397126.

It is an arithmetic number, because the mean of its divisors is an integer number (174149010).

Almost surely, 2^8079819120 is an apocalyptic number.

8079819120 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 8079819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931920800).

8079819120 is an abundant number, since it is smaller than the sum of its proper divisors (19784022480).

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

8079819120 is a wasteful number, since it uses less digits than its factorization.

8079819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 8079819120 is about 89887.8140795514. The cubic root of 8079819120 is about 2006.6295932980.

The spelling of 8079819120 in words is "eight billion, seventy-nine million, eight hundred nineteen thousand, one hundred twenty".