77117128 has 16 divisors (see below), whose sum is σ = 157739760. Its totient is φ = 35053200.

The previous prime is 77117107. The next prime is 77117129. The reversal of 77117128 is 82171177.

It is a junction number, because it is equal to n+sod(n) for n = 77117093 and 77117102.

It is not an unprimeable number, because it can be changed into a prime (77117129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 438078 + ... + 438253.

It is an arithmetic number, because the mean of its divisors is an integer number (9858735).

Almost surely, 2^77117128 is an apocalyptic number.

It is an amenable number.

77117128 is an abundant number, since it is smaller than the sum of its proper divisors (80622632).

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

77117128 is a wasteful number, since it uses less digits than its factorization.

77117128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876348 (or 876344 counting only the distinct ones).

The product of its digits is 5488, while the sum is 34.

The square root of 77117128 is about 8781.6358384984. The cubic root of 77117128 is about 425.6476915529.

The spelling of 77117128 in words is "seventy-seven million, one hundred seventeen thousand, one hundred twenty-eight".