77568138 has 32 divisors (see below), whose sum is σ = 177937920. Its totient is φ = 25021440.

The previous prime is 77568131. The next prime is 77568143. The reversal of 77568138 is 83186577.

77568138 is a `hidden beast` number, since 77 + 568 + 13 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77568093 and 77568102.

It is not an unprimeable number, because it can be changed into a prime (77568131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21495 + ... + 24842.

It is an arithmetic number, because the mean of its divisors is an integer number (5560560).

Almost surely, 2^77568138 is an apocalyptic number.

77568138 is an abundant number, since it is smaller than the sum of its proper divisors (100369782).

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

77568138 is a wasteful number, since it uses less digits than its factorization.

77568138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46379 (or 46373 counting only the distinct ones).

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

The square root of 77568138 is about 8807.2775589282. The cubic root of 77568138 is about 426.4758618150.

The spelling of 77568138 in words is "seventy-seven million, five hundred sixty-eight thousand, one hundred thirty-eight".