77690 has 16 divisors (see below), whose sum is σ = 148392. Its totient is φ = 29184.

The previous prime is 77689. The next prime is 77699. The reversal of 77690 is 9677.

77690 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 76729 + 961 = 277^2 + 31^2 .

It is a super-2 number, since 2×77690² = 12071472200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 398.

2⁷⁷⁶⁹⁰ is an apocalyptic number.

77690 is a deficient number, since it is larger than the sum of its proper divisors (70702).

77690 is a wasteful number, since it uses less digits than its factorization.

77690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 77690 is about 278.7292593181. The cubic root of 77690 is about 42.6699080654.

It can be divided in two parts, 77 and 690, that added together give a palindrome (767).

The spelling of 77690 in words is "seventy-seven thousand, six hundred ninety".