77111109 has 20 divisors (see below), whose sum is σ = 115452876. Its totient is φ = 51290496.

The previous prime is 77111039. The next prime is 77111123. The reversal of 77111109 is 90111177.

It can be written as a sum of positive squares in 2 ways, for example, as 2772225 + 74338884 = 1665^2 + 8622^2 .

It is not a de Polignac number, because 77111109 - 2⁸ = 77110853 is a prime.

It is a super-2 number, since 2×77111109² = 11892246262419762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77111149) 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 19 ways as a sum of consecutive naturals, for example, 48877 + ... + 50429.

Almost surely, 2^77111109 is an apocalyptic number.

It is an amenable number.

77111109 is a deficient number, since it is larger than the sum of its proper divisors (38341767).

77111109 is a wasteful number, since it uses less digits than its factorization.

77111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 27.

The square root of 77111109 is about 8781.2931280080. The cubic root of 77111109 is about 425.6366173157.

The spelling of 77111109 in words is "seventy-seven million, one hundred eleven thousand, one hundred nine".