77668960 has 96 divisors (see below), whose sum is σ = 200037600. Its totient is φ = 28385280.

The previous prime is 77668949. The next prime is 77668963. The reversal of 77668960 is 6986677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77668963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87720 + ... + 88600.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 2^77668960 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 77668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100018800).

77668960 is an abundant number, since it is smaller than the sum of its proper divisors (122368640).

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

77668960 is a wasteful number, since it uses less digits than its factorization.

77668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 77668960 is about 8812.9994893907. Note that the first 3 decimals coincide. The cubic root of 77668960 is about 426.6605576382.

The spelling of 77668960 in words is "seventy-seven million, six hundred sixty-eight thousand, nine hundred sixty".