76636 has 36 divisors (see below), whose sum is σ = 172368. Its totient is φ = 29568.

The previous prime is 76631. The next prime is 76649. The reversal of 76636 is 63667.

76636 is a nontrivial binomial coefficient, being equal to C(392, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3321 + ... + 3343.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁷⁶⁶³⁶ is an apocalyptic number.

76636 is the 391-st triangular number and also the 196-th hexagonal number.

76636 is the 131-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

76636 is an abundant number, since it is smaller than the sum of its proper divisors (95732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76636 is a wasteful number, since it uses less digits than its factorization.

76636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 76636 is about 276.8320790660. The cubic root of 76636 is about 42.4760649542.

The spelling of 76636 in words is "seventy-six thousand, six hundred thirty-six".