8068674800 has 120 divisors (see below), whose sum is σ = 20174542080. Its totient is φ = 3098592000.

The previous prime is 8068674787. The next prime is 8068674833. The reversal of 8068674800 is 84768608.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010825 + ... + 1018775.

It is an arithmetic number, because the mean of its divisors is an integer number (168121184).

Almost surely, 2^8068674800 is an apocalyptic number.

8068674800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8068674800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087271040).

8068674800 is an abundant number, since it is smaller than the sum of its proper divisors (12105867280).

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

8068674800 is a wasteful number, since it uses less digits than its factorization.

8068674800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 8068674800 is about 89825.8025291174. The cubic root of 8068674800 is about 2005.7066018612.

The spelling of 8068674800 in words is "eight billion, sixty-eight million, six hundred seventy-four thousand, eight hundred".