8079120000 has 720 divisors, whose sum is σ = 33941986650. Its totient is φ = 1838592000.

The previous prime is 8079119977. The next prime is 8079120013. The reversal of 8079120000 is 219708.

It can be written as a sum of positive squares in 5 ways, for example, as 1051315776 + 7027804224 = 32424^2 + 83832^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 35279886 + ... + 35280114.

Almost surely, 2^8079120000 is an apocalyptic number.

8079120000 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 8079120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970993325).

8079120000 is an abundant number, since it is smaller than the sum of its proper divisors (25862866650).

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

8079120000 is a wasteful number, since it uses less digits than its factorization.

8079120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8079120000 is about 89883.9251479373. The cubic root of 8079120000 is about 2006.5717159567.

Adding to 8079120000 its reverse (219708), we get a palindrome (8079339708).

The spelling of 8079120000 in words is "eight billion, seventy-nine million, one hundred twenty thousand".