76334404608 has 792 divisors, whose sum is σ = 284241245184. Its totient is φ = 19670999040.

The previous prime is 76334404567. The next prime is 76334404613. The reversal of 76334404608 is 80640443367.

76334404608 is a `hidden beast` number, since 7 + 6 + 3 + 34 + 4 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 601058241 + ... + 601058367.

Almost surely, 2^76334404608 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 76334404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142120622592).

76334404608 is an abundant number, since it is smaller than the sum of its proper divisors (207906840576).

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

76334404608 is a wasteful number, since it uses less digits than its factorization.

76334404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 76334404608 in words is "seventy-six billion, three hundred thirty-four million, four hundred four thousand, six hundred eight".