7971688800 has 216 divisors, whose sum is σ = 28709474976. Its totient is φ = 2080465920.

The previous prime is 7971688763. The next prime is 7971688817. The reversal of 7971688800 is 88861797.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 326622 + ... + 350178.

It is an arithmetic number, because the mean of its divisors is an integer number (132914236).

Almost surely, 2^7971688800 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 7971688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354737488).

7971688800 is an abundant number, since it is smaller than the sum of its proper divisors (20737786176).

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

7971688800 is a wasteful number, since it uses less digits than its factorization.

7971688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630 (or 23614 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 7971688800 is about 89284.3144118831. The cubic root of 7971688800 is about 1997.6379447791.

The spelling of 7971688800 in words is "seven billion, nine hundred seventy-one million, six hundred eighty-eight thousand, eight hundred".