77309411328 has 102 divisors (see below), whose sum is σ = 223338299379. Its totient is φ = 25769803776.

The previous prime is 77309411323. The next prime is 77309411329. The reversal of 77309411328 is 82311490377.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)² ⋅ (2!)²⁷.

77309411328 is a `hidden beast` number, since 7 + 7 + 309 + 4 + 11 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38654705664 + 38654705664 = 196608^2 + 196608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=196608.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (77309411323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25769803775 + 25769803776 + 25769803777.

Almost surely, 2^77309411328 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 77309411328

77309411328 is an abundant number, since it is smaller than the sum of its proper divisors (146028888051).

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

77309411328 is an frugal number, since it uses more digits than its factorization.

77309411328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 77309411328 in words is "seventy-seven billion, three hundred nine million, four hundred eleven thousand, three hundred twenty-eight".