77836 has 24 divisors (see below), whose sum is σ = 156240. Its totient is φ = 33600.

The previous prime is 77813. The next prime is 77839. The reversal of 77836 is 63877.

It is a junction number, because it is equal to n+sod(n) for n = 77798 and 77807.

It is not an unprimeable number, because it can be changed into a prime (77839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1246 + ... + 1306.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁷⁷⁸³⁶ is an apocalyptic number.

It is an amenable number.

77836 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

77836 is a wasteful number, since it uses less digits than its factorization.

77836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 77836 is about 278.9910392826. The cubic root of 77836 is about 42.6966206760.

The spelling of 77836 in words is "seventy-seven thousand, eight hundred thirty-six".