7987519008 has 216 divisors, whose sum is σ = 27039540528. Its totient is φ = 2228905728.

The previous prime is 7987518983. The next prime is 7987519009. The reversal of 7987519008 is 8009157897.

It is a super-2 number, since 2×7987519008² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7987519009) 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 35 ways as a sum of consecutive naturals, for example, 600235 + ... + 613397.

It is an arithmetic number, because the mean of its divisors is an integer number (125183058).

Almost surely, 2^7987519008 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 7987519008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519770264).

7987519008 is an abundant number, since it is smaller than the sum of its proper divisors (19052021520).

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

7987519008 is a wasteful number, since it uses less digits than its factorization.

7987519008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The square root of 7987519008 is about 89372.9209995958. The cubic root of 7987519008 is about 1998.9593759781.

The spelling of 7987519008 in words is "seven billion, nine hundred eighty-seven million, five hundred nineteen thousand, eight".