7983842100 has 288 divisors, whose sum is σ = 26114161920. Its totient is φ = 1869557760.

The previous prime is 7983842089. The next prime is 7983842159. The reversal of 7983842100 is 12483897.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8255817 + ... + 8256783.

Almost surely, 2^7983842100 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 7983842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057080960).

7983842100 is an abundant number, since it is smaller than the sum of its proper divisors (18130319820).

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

7983842100 is a wasteful number, since it uses less digits than its factorization.

7983842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7983842100 is about 89352.3480385379. The cubic root of 7983842100 is about 1998.6526007949.

The spelling of 7983842100 in words is "seven billion, nine hundred eighty-three million, eight hundred forty-two thousand, one hundred".