77168320 has 56 divisors (see below), whose sum is σ = 184708800. Its totient is φ = 30707712.

The previous prime is 77168309. The next prime is 77168323. The reversal of 77168320 is 2386177.

It is a super-2 number, since 2×77168320² = 11909899223244800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77168323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75976 + ... + 76984.

Almost surely, 2^77168320 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 77168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92354400).

77168320 is an abundant number, since it is smaller than the sum of its proper divisors (107540480).

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

77168320 is a wasteful number, since it uses less digits than its factorization.

77168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 77168320 is about 8784.5500738512. The cubic root of 77168320 is about 425.7418554024.

The spelling of 77168320 in words is "seventy-seven million, one hundred sixty-eight thousand, three hundred twenty".