77824 has 26 divisors (see below), whose sum is σ = 163820. Its totient is φ = 36864.

The previous prime is 77813. The next prime is 77839. The reversal of 77824 is 42877.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 77792 and 77801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4087 + ... + 4105.

2⁷⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81910).

77824 is an abundant number, since it is smaller than the sum of its proper divisors (85996).

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

77824 is an equidigital number, since it uses as much as digits as its factorization.

77824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 77824 is about 278.9695323866. The cubic root of 77824 is about 42.6944263796.

The spelling of 77824 in words is "seventy-seven thousand, eight hundred twenty-four".