77727106 has 16 divisors (see below), whose sum is σ = 120572928. Its totient is φ = 37540800.

The previous prime is 77727071. The next prime is 77727113. The reversal of 77727106 is 60172777.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53911 + ... + 55333.

It is an arithmetic number, because the mean of its divisors is an integer number (7535808).

Almost surely, 2^77727106 is an apocalyptic number.

77727106 is a deficient number, since it is larger than the sum of its proper divisors (42845822).

77727106 is a wasteful number, since it uses less digits than its factorization.

77727106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337.

The product of its (nonzero) digits is 28812, while the sum is 37.

The square root of 77727106 is about 8816.2977490554. The cubic root of 77727106 is about 426.7670026345.

It can be divided in two parts, 7772 and 7106, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 77727106 in words is "seventy-seven million, seven hundred twenty-seven thousand, one hundred six".