76325389056 has 432 divisors, whose sum is σ = 272008848384. Its totient is φ = 20084391936.

The previous prime is 76325389001. The next prime is 76325389067. The reversal of 76325389056 is 65098352367.

It is a happy number.

76325389056 is a `hidden beast` number, since 76 + 32 + 538 + 9 + 0 + 5 + 6 = 666.

It is a super-3 number, since 3×76325389056³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 76325388993 and 76325389011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12883311 + ... + 12889233.

It is an arithmetic number, because the mean of its divisors is an integer number (629650112).

Almost surely, 2^76325389056 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 76325389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136004424192).

76325389056 is an abundant number, since it is smaller than the sum of its proper divisors (195683459328).

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

76325389056 is a wasteful number, since it uses less digits than its factorization.

76325389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 76325389056 in words is "seventy-six billion, three hundred twenty-five million, three hundred eighty-nine thousand, fifty-six".