77600106 has 24 divisors (see below), whose sum is σ = 174361824. Its totient is φ = 25866540.

The previous prime is 77600071. The next prime is 77600129. The reversal of 77600106 is 60100677.

It is a super-2 number, since 2×77600106² = 12043552902422472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 77600106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79350 + ... + 80321.

It is an arithmetic number, because the mean of its divisors is an integer number (7265076).

Almost surely, 2^77600106 is an apocalyptic number.

77600106 is an abundant number, since it is smaller than the sum of its proper divisors (96761718).

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

77600106 is a wasteful number, since it uses less digits than its factorization.

77600106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159688 (or 159676 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77600106 is about 8809.0922347311. The cubic root of 77600106 is about 426.5344413134.

The spelling of 77600106 in words is "seventy-seven million, six hundred thousand, one hundred six".