77666017320 has 192 divisors, whose sum is σ = 264707352000. Its totient is φ = 20478002688.

The previous prime is 77666017259. The next prime is 77666017357. The reversal of 77666017320 is 2371066677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820191 + ... + 909969.

It is an arithmetic number, because the mean of its divisors is an integer number (1378684125).

Almost surely, 2^77666017320 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 77666017320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132353676000).

77666017320 is an abundant number, since it is smaller than the sum of its proper divisors (187041334680).

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

77666017320 is a wasteful number, since it uses less digits than its factorization.

77666017320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89894 (or 89878 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 77666017320 in words is "seventy-seven billion, six hundred sixty-six million, seventeen thousand, three hundred twenty".