7987394880 has 224 divisors, whose sum is σ = 28396874880. Its totient is φ = 2113413120.

The previous prime is 7987394843. The next prime is 7987394887. The reversal of 7987394880 is 884937897.

7987394880 is a `hidden beast` number, since 79 + 87 + 3 + 9 + 488 + 0 = 666.

It is a super-5 number, since 5×7987394880⁵ (a number of 51 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987394887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128312 + ... + 1135368.

Almost surely, 2^7987394880 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 7987394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198437440).

7987394880 is an abundant number, since it is smaller than the sum of its proper divisors (20409480000).

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

7987394880 is a wasteful number, since it uses less digits than its factorization.

7987394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The square root of 7987394880 is about 89372.2265583666. The cubic root of 7987394880 is about 1998.9490211518.

The spelling of 7987394880 in words is "seven billion, nine hundred eighty-seven million, three hundred ninety-four thousand, eight hundred eighty".