77138112 has 56 divisors (see below), whose sum is σ = 216109296. Its totient is φ = 24199168.

The previous prime is 77138111. The next prime is 77138141. The reversal of 77138112 is 21183177.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77138112.

It is not an unprimeable number, because it can be changed into a prime (77138111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8553 + ... + 15080.

Almost surely, 2^77138112 is an apocalyptic number.

It is an amenable number.

77138112 is an abundant number, since it is smaller than the sum of its proper divisors (138971184).

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

77138112 is a wasteful number, since it uses less digits than its factorization.

77138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23665 (or 23655 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 77138112 is about 8782.8305232425. The cubic root of 77138112 is about 425.6862950875.

It can be divided in two parts, 771 and 38112, that added together give a palindrome (38883).

The spelling of 77138112 in words is "seventy-seven million, one hundred thirty-eight thousand, one hundred twelve".