76065571296 has 576 divisors, whose sum is σ = 267637353984. Its totient is φ = 20163686400.

The previous prime is 76065571249. The next prime is 76065571297. The reversal of 76065571296 is 69217556067.

76065571296 is a `hidden beast` number, since 7 + 6 + 0 + 65 + 571 + 2 + 9 + 6 = 666.

It is a super-2 number, since 2×76065571296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76065571297) 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, 124087086 + ... + 124087698.

It is an arithmetic number, because the mean of its divisors is an integer number (464648184).

Almost surely, 2^76065571296 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 76065571296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133818676992).

76065571296 is an abundant number, since it is smaller than the sum of its proper divisors (191571782688).

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

76065571296 is a wasteful number, since it uses less digits than its factorization.

76065571296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 76065571296 in words is "seventy-six billion, sixty-five million, five hundred seventy-one thousand, two hundred ninety-six".