7987418208 has 768 divisors, whose sum is σ = 31352832000. Its totient is φ = 1916006400.

The previous prime is 7987418207. The next prime is 7987418213. The reversal of 7987418208 is 8028147897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987418203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89746228 + ... + 89746316.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^7987418208 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 7987418208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416000).

7987418208 is an abundant number, since it is smaller than the sum of its proper divisors (23365413792).

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

7987418208 is a wasteful number, since it uses less digits than its factorization.

7987418208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7987418208 is about 89372.3570686149. The cubic root of 7987418208 is about 1998.9509671946.

The spelling of 7987418208 in words is "seven billion, nine hundred eighty-seven million, four hundred eighteen thousand, two hundred eight".