76382558304 has 96 divisors (see below), whose sum is σ = 216256620384. Its totient is φ = 23466516480.

The previous prime is 76382558281. The next prime is 76382558323. The reversal of 76382558304 is 40385528367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 778632 + ... + 871224.

It is an arithmetic number, because the mean of its divisors is an integer number (2252673129).

Almost surely, 2^76382558304 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 76382558304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108128310192).

76382558304 is an abundant number, since it is smaller than the sum of its proper divisors (139874062080).

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

76382558304 is a wasteful number, since it uses less digits than its factorization.

76382558304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93280 (or 93272 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 76382558304 in words is "seventy-six billion, three hundred eighty-two million, five hundred fifty-eight thousand, three hundred four".