77115 has 16 divisors (see below), whose sum is σ = 127008. Its totient is φ = 39936.

The previous prime is 77101. The next prime is 77137. The reversal of 77115 is 51177.

It is not a de Polignac number, because 77115 - 2⁹ = 76603 is a prime.

77115 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 77091 and 77100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77115.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2⁷⁷¹¹⁵ is an apocalyptic number.

77115 is a deficient number, since it is larger than the sum of its proper divisors (49893).

77115 is a wasteful number, since it uses less digits than its factorization.

77115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its digits is 245, while the sum is 21.

The square root of 77115 is about 277.6958768149. The cubic root of 77115 is about 42.5643776354.

The spelling of 77115 in words is "seventy-seven thousand, one hundred fifteen".