77538104 has 32 divisors (see below), whose sum is σ = 167810400. Its totient is φ = 32899200.

The previous prime is 77538103. The next prime is 77538119. The reversal of 77538104 is 40183577.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77538101) 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 7 ways as a sum of consecutive naturals, for example, 1199 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (5244075).

Almost surely, 2^77538104 is an apocalyptic number.

It is an amenable number.

77538104 is an abundant number, since it is smaller than the sum of its proper divisors (90272296).

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

77538104 is a wasteful number, since it uses less digits than its factorization.

77538104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 77538104 is about 8805.5723266577. The cubic root of 77538104 is about 426.4208115934.

The spelling of 77538104 in words is "seventy-seven million, five hundred thirty-eight thousand, one hundred four".