77927688 has 48 divisors (see below), whose sum is σ = 213443100. Its totient is φ = 25681920.

The previous prime is 77927671. The next prime is 77927699. The reversal of 77927688 is 88672977.

It can be written as a sum of positive squares in 2 ways, for example, as 70862724 + 7064964 = 8418^2 + 2658^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 12488.

Almost surely, 2^77927688 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 77927688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106721550).

77927688 is an abundant number, since it is smaller than the sum of its proper divisors (135515412).

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

77927688 is a wasteful number, since it uses less digits than its factorization.

77927688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12255 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 77927688 is about 8827.6660562121. Note that the first 3 decimals coincide. The cubic root of 77927688 is about 427.1337912374.

The spelling of 77927688 in words is "seventy-seven million, nine hundred twenty-seven thousand, six hundred eighty-eight".