8129792000 has 192 divisors, whose sum is σ = 22138945920. Its totient is φ = 2955264000.

The previous prime is 8129791987. The next prime is 8129792081. The reversal of 8129792000 is 2979218.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814557 + ... + 2817443.

It is an arithmetic number, because the mean of its divisors is an integer number (115307010).

Almost surely, 2^8129792000 is an apocalyptic number.

8129792000 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 8129792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069472960).

8129792000 is an abundant number, since it is smaller than the sum of its proper divisors (14009153920).

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

8129792000 is a wasteful number, since it uses less digits than its factorization.

8129792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 8129792000 is about 90165.3592018576. The cubic root of 8129792000 is about 2010.7580286529.

The spelling of 8129792000 in words is "eight billion, one hundred twenty-nine million, seven hundred ninety-two thousand".