77311122 has 48 divisors (see below), whose sum is σ = 182956320. Its totient is φ = 21709632.

The previous prime is 77311081. The next prime is 77311127. The reversal of 77311122 is 22111377.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 77311092 and 77311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77311127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15118 + ... + 19574.

It is an arithmetic number, because the mean of its divisors is an integer number (3811590).

Almost surely, 2^77311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91478160).

77311122 is an abundant number, since it is smaller than the sum of its proper divisors (105645198).

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

77311122 is a wasteful number, since it uses less digits than its factorization.

77311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4528 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 77311122 is about 8792.6743371968. The cubic root of 77311122 is about 426.0043090662.

Adding to 77311122 its reverse (22111377), we get a palindrome (99422499).

The spelling of 77311122 in words is "seventy-seven million, three hundred eleven thousand, one hundred twenty-two".