77689968 has 80 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 24779520.

The previous prime is 77689951. The next prime is 77689979. The reversal of 77689968 is 86998677.

It is a super-2 number, since 2×77689968² = 12071462255682048, which contains 22 as substring.

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, 161953 + ... + 162431.

It is an arithmetic number, because the mean of its divisors is an integer number (2618880).

Almost surely, 2^77689968 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 77689968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

77689968 is an abundant number, since it is smaller than the sum of its proper divisors (131820432).

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

77689968 is a wasteful number, since it uses less digits than its factorization.

77689968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 77689968 is about 8814.1912845139. The cubic root of 77689968 is about 426.6990220689.

The spelling of 77689968 in words is "seventy-seven million, six hundred eighty-nine thousand, nine hundred sixty-eight".