77135688 has 96 divisors (see below), whose sum is σ = 246504960. Its totient is φ = 21323520.

The previous prime is 77135651. The next prime is 77135699. The reversal of 77135688 is 88653177.

77135688 is a `hidden beast` number, since 77 + 13 + 568 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13156 + ... + 18092.

It is an arithmetic number, because the mean of its divisors is an integer number (2567760).

Almost surely, 2^77135688 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 77135688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123252480).

77135688 is an abundant number, since it is smaller than the sum of its proper divisors (169369272).

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

77135688 is a wasteful number, since it uses less digits than its factorization.

77135688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 77135688 is about 8782.6925256438. The cubic root of 77135688 is about 425.6818360967.

The spelling of 77135688 in words is "seventy-seven million, one hundred thirty-five thousand, six hundred eighty-eight".