77636 has 12 divisors (see below), whose sum is σ = 146412. Its totient is φ = 35808.

The previous prime is 77621. The next prime is 77641. The reversal of 77636 is 63677.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 37636 = 200^2 + 194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77599 and 77608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 695 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (12201).

2⁷⁷⁶³⁶ is an apocalyptic number.

It is an amenable number.

77636 is a deficient number, since it is larger than the sum of its proper divisors (68776).

77636 is a wasteful number, since it uses less digits than its factorization.

77636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its digits is 5292, while the sum is 29.

The square root of 77636 is about 278.6323742855. The cubic root of 77636 is about 42.6600195808.

Adding to 77636 its product of digits (5292), we get a palindrome (82928).

The spelling of 77636 in words is "seventy-seven thousand, six hundred thirty-six".