7991808000 has 624 divisors, whose sum is σ = 29910648768. Its totient is φ = 1892352000.

The previous prime is 7991807983. The next prime is 7991808017. The reversal of 7991808000 is 8081997.

It is an interprime number because it is at equal distance from previous prime (7991807983) and next prime (7991808017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185855979 + ... + 185856021.

It is an arithmetic number, because the mean of its divisors is an integer number (47933732).

Almost surely, 2^7991808000 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 7991808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955324384).

7991808000 is an abundant number, since it is smaller than the sum of its proper divisors (21918840768).

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

7991808000 is a wasteful number, since it uses less digits than its factorization.

7991808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 7991808000 is about 89396.9126983701. The cubic root of 7991808000 is about 1999.3171001838.

Adding to 7991808000 its reverse (8081997), we get a palindrome (7999889997).

The spelling of 7991808000 in words is "seven billion, nine hundred ninety-one million, eight hundred eight thousand".