7989667200 has 768 divisors, whose sum is σ = 31974144000. Its totient is φ = 1940889600.

The previous prime is 7989667199. The next prime is 7989667229. The reversal of 7989667200 is 27669897.

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

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, 50889522 + ... + 50889678.

It is an arithmetic number, because the mean of its divisors is an integer number (41633000).

Almost surely, 2^7989667200 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 7989667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987072000).

7989667200 is an abundant number, since it is smaller than the sum of its proper divisors (23984476800).

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

7989667200 is a wasteful number, since it uses less digits than its factorization.

7989667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7989667200 is about 89384.9383285573. The cubic root of 7989667200 is about 1999.1385623492.

The spelling of 7989667200 in words is "seven billion, nine hundred eighty-nine million, six hundred sixty-seven thousand, two hundred".