77922 has 40 divisors (see below), whose sum is σ = 193116. Its totient is φ = 23328.

The previous prime is 77899. The next prime is 77929. The reversal of 77922 is 22977.

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 81 = 279^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2088 + ... + 2124.

2⁷⁷⁹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96558).

77922 is an abundant number, since it is smaller than the sum of its proper divisors (115194).

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

77922 is a wasteful number, since it uses less digits than its factorization.

77922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 77922 is about 279.1451235469. The cubic root of 77922 is about 42.7123398713.

Subtracting from 77922 its reverse (22977), we obtain a palindrome (54945).

It can be divided in two parts, 77 and 922, that added together give a palindrome (999).

The spelling of 77922 in words is "seventy-seven thousand, nine hundred twenty-two".