77830 has 16 divisors (see below), whose sum is σ = 144144. Its totient is φ = 30240.

The previous prime is 77813. The next prime is 77839. The reversal of 77830 is 3877.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 77795 and 77804.

It is a congruent number.

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

77830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 340 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2⁷⁷⁸³⁰ is an apocalyptic number.

77830 is a deficient number, since it is larger than the sum of its proper divisors (66314).

77830 is a wasteful number, since it uses less digits than its factorization.

77830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 77830 is about 278.9802860419. The cubic root of 77830 is about 42.6955235560.

It can be divided in two parts, 778 and 30, that added together give a palindrome (808).

The spelling of 77830 in words is "seventy-seven thousand, eight hundred thirty".