77705485 has 32 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 51801600.

The previous prime is 77705483. The next prime is 77705489. The reversal of 77705485 is 58450777.

It is not a de Polignac number, because 77705485 - 2¹ = 77705483 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77705483) 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 31 ways as a sum of consecutive naturals, for example, 136281 + ... + 136849.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^77705485 is an apocalyptic number.

It is an amenable number.

77705485 is a deficient number, since it is larger than the sum of its proper divisors (32610035).

77705485 is a wasteful number, since it uses less digits than its factorization.

77705485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789.

The product of its (nonzero) digits is 274400, while the sum is 43.

The square root of 77705485 is about 8815.0714687971. The cubic root of 77705485 is about 426.7274283447.

It can be divided in two parts, 77 and 705485, that multiplied together give a palindrome (54322345).

The spelling of 77705485 in words is "seventy-seven million, seven hundred five thousand, four hundred eighty-five".