77090 has 16 divisors (see below), whose sum is σ = 149688. Its totient is φ = 28416.

The previous prime is 77081. The next prime is 77093. The reversal of 77090 is 9077.

It can be written as a sum of positive squares in 4 ways, for example, as 52441 + 24649 = 229^2 + 157^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77090.

It is not an unprimeable number, because it can be changed into a prime (77093) by changing a digit.

77090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167 + ... + 426.

2⁷⁷⁰⁹⁰ is an apocalyptic number.

77090 is a deficient number, since it is larger than the sum of its proper divisors (72598).

77090 is a wasteful number, since it uses less digits than its factorization.

77090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 77090 is about 277.6508598942. The cubic root of 77090 is about 42.5597774735.

The spelling of 77090 in words is "seventy-seven thousand, ninety".