76338122328 has 384 divisors, whose sum is σ = 255404352000. Its totient is φ = 20939212800.

The previous prime is 76338122327. The next prime is 76338122351. The reversal of 76338122328 is 82322183367.

76338122328 is a `hidden beast` number, since 7 + 633 + 8 + 1 + 2 + 2 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76338122321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15416253 + ... + 15421203.

It is an arithmetic number, because the mean of its divisors is an integer number (665115500).

Almost surely, 2^76338122328 is an apocalyptic number.

76338122328 is a gapful number since it is divisible by the number (78) 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 76338122328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127702176000).

76338122328 is an abundant number, since it is smaller than the sum of its proper divisors (179066229672).

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

76338122328 is a wasteful number, since it uses less digits than its factorization.

76338122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5005 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 76338122328 in words is "seventy-six billion, three hundred thirty-eight million, one hundred twenty-two thousand, three hundred twenty-eight".