76345265367200 has 36 divisors (see below), whose sum is σ = 186377879079630. Its totient is φ = 30538106146560.

The previous prime is 76345265367199. The next prime is 76345265367253. The reversal of 76345265367200 is 276356254367.

76345265367200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 28026139536784 + 48319125830416 = 5293972^2 + 6951196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47715790055 + ... + 47715791654.

Almost surely, 2^{76345265367200} is an apocalyptic number.

It is an amenable number.

76345265367200 is an abundant number, since it is smaller than the sum of its proper divisors (110032613712430).

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

76345265367200 is a wasteful number, since it uses less digits than its factorization.

76345265367200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95431581729 (or 95431581716 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 56.

The spelling of 76345265367200 in words is "seventy-six trillion, three hundred forty-five billion, two hundred sixty-five million, three hundred sixty-seven thousand, two hundred".