8079959040 has 352 divisors, whose sum is σ = 27165818880. Its totient is φ = 2047180800.

The previous prime is 8079958993. The next prime is 8079959051. The reversal of 8079959040 is 409599708.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33807241 + ... + 33807479.

Almost surely, 2^8079959040 is an apocalyptic number.

8079959040 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 8079959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582909440).

8079959040 is an abundant number, since it is smaller than the sum of its proper divisors (19085859840).

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

8079959040 is a wasteful number, since it uses less digits than its factorization.

8079959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 8079959040 is about 89888.5923796785. The cubic root of 8079959040 is about 2006.6411763127.

The spelling of 8079959040 in words is "eight billion, seventy-nine million, nine hundred fifty-nine thousand, forty".