77688160 has 96 divisors (see below), whose sum is σ = 205807392. Its totient is φ = 27463680.

The previous prime is 77688157. The next prime is 77688199. The reversal of 77688160 is 6188677.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 64524 + ... + 65716.

It is an arithmetic number, because the mean of its divisors is an integer number (2143827).

Almost surely, 2^77688160 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 77688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102903696).

77688160 is an abundant number, since it is smaller than the sum of its proper divisors (128119232).

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

77688160 is a wasteful number, since it uses less digits than its factorization.

77688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 77688160 is about 8814.0887220404. The cubic root of 77688160 is about 426.6957119984.

The spelling of 77688160 in words is "seventy-seven million, six hundred eighty-eight thousand, one hundred sixty".