8079840000 has 540 divisors, whose sum is σ = 30215977792. Its totient is φ = 2073600000.

The previous prime is 8079839953. The next prime is 8079840007. The reversal of 8079840000 is 489708.

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

It is not an unprimeable number, because it can be changed into a prime (8079840007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44639910 + ... + 44640090.

Almost surely, 2^8079840000 is an apocalyptic number.

8079840000 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 8079840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107988896).

8079840000 is an abundant number, since it is smaller than the sum of its proper divisors (22136137792).

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

8079840000 is a wasteful number, since it uses less digits than its factorization.

8079840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8079840000 is about 89887.9302242520. The cubic root of 8079840000 is about 2006.6313218181.

The spelling of 8079840000 in words is "eight billion, seventy-nine million, eight hundred forty thousand".