77329676160 has 768 divisors, whose sum is σ = 319983955200. Its totient is φ = 17637212160.

The previous prime is 77329676131. The next prime is 77329676189. The reversal of 77329676160 is 6167692377.

It is an interprime number because it is at equal distance from previous prime (77329676131) and next prime (77329676189).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77329676097 and 77329676106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29080911 + ... + 29083569.

It is an arithmetic number, because the mean of its divisors is an integer number (416645775).

Almost surely, 2^77329676160 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 77329676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159991977600).

77329676160 is an abundant number, since it is smaller than the sum of its proper divisors (242654279040).

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

77329676160 is a wasteful number, since it uses less digits than its factorization.

77329676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 77329676160 in words is "seventy-seven billion, three hundred twenty-nine million, six hundred seventy-six thousand, one hundred sixty".