7987967280 has 200 divisors, whose sum is σ = 27808233552. Its totient is φ = 2125149696.

The previous prime is 7987967269. The next prime is 7987967287. The reversal of 7987967280 is 827697897.

It is not an unprimeable number, because it can be changed into a prime (7987967287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3387862 + ... + 3390218.

Almost surely, 2^7987967280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7987967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904116776).

7987967280 is an abundant number, since it is smaller than the sum of its proper divisors (19820266272).

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

7987967280 is a wasteful number, since it uses less digits than its factorization.

7987967280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The square root of 7987967280 is about 89375.4288381320. The cubic root of 7987967280 is about 1998.9967701824.

The spelling of 7987967280 in words is "seven billion, nine hundred eighty-seven million, nine hundred sixty-seven thousand, two hundred eighty".