77988160 has 112 divisors (see below), whose sum is σ = 198973440. Its totient is φ = 29030400.

The previous prime is 77988151. The next prime is 77988161. The reversal of 77988160 is 6188977.

It is a self number, because there is not a number n which added to its sum of digits gives 77988160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77988161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614017 + ... + 614143.

Almost surely, 2^77988160 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 77988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

77988160 is an abundant number, since it is smaller than the sum of its proper divisors (120985280).

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

77988160 is a wasteful number, since it uses less digits than its factorization.

77988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 77988160 is about 8831.0905328844. The cubic root of 77988160 is about 427.2442481533.

The spelling of 77988160 in words is "seventy-seven million, nine hundred eighty-eight thousand, one hundred sixty".