77667511168 has 192 divisors, whose sum is σ = 172899424800. Its totient is φ = 34720358400.

The previous prime is 77667511121. The next prime is 77667511177. The reversal of 77667511168 is 86111576677.

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 23 ways as a sum of consecutive naturals, for example, 93687778 + ... + 93688606.

Almost surely, 2^77667511168 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 77667511168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86449712400).

77667511168 is an abundant number, since it is smaller than the sum of its proper divisors (95231913632).

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

77667511168 is a wasteful number, since it uses less digits than its factorization.

77667511168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 976 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 55.

The spelling of 77667511168 in words is "seventy-seven billion, six hundred sixty-seven million, five hundred eleven thousand, one hundred sixty-eight".