77022 has 24 divisors (see below), whose sum is σ = 182520. Its totient is φ = 23280.

The previous prime is 77017. The next prime is 77023. The reversal of 77022 is 22077.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 76986 and 77004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77023) by changing a digit.

77022 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2⁷⁷⁰²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91260).

77022 is an abundant number, since it is smaller than the sum of its proper divisors (105498).

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

77022 is a wasteful number, since it uses less digits than its factorization.

77022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77022 is about 277.5283769275. The cubic root of 77022 is about 42.5472599995.

Adding to 77022 its reverse (22077), we get a palindrome (99099).

Subtracting from 77022 its reverse (22077), we obtain a palindrome (54945).

The spelling of 77022 in words is "seventy-seven thousand, twenty-two", and thus it is an iban number.