8127729792 has 768 divisors, whose sum is σ = 30938019840. Its totient is φ = 1990656000.

The previous prime is 8127729749. The next prime is 8127729803. The reversal of 8127729792 is 2979277218.

It is a happy number.

8127729792 is a `hidden beast` number, since 81 + 277 + 297 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133241442 + ... + 133241502.

It is an arithmetic number, because the mean of its divisors is an integer number (40283880).

Almost surely, 2^8127729792 is an apocalyptic number.

8127729792 is a gapful number since it is divisible by the number (82) 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 8127729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469009920).

8127729792 is an abundant number, since it is smaller than the sum of its proper divisors (22810290048).

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

8127729792 is a wasteful number, since it uses less digits than its factorization.

8127729792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 8127729792 is about 90153.9227765492. The cubic root of 8127729792 is about 2010.5879975725.

The spelling of 8127729792 in words is "eight billion, one hundred twenty-seven million, seven hundred twenty-nine thousand, seven hundred ninety-two".