77441144 has 32 divisors (see below), whose sum is σ = 159989040. Its totient is φ = 34848000.

The previous prime is 77441129. The next prime is 77441173. The reversal of 77441144 is 44114477.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 77441144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4532 + ... + 13244.

Almost surely, 2^77441144 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 77441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994520).

77441144 is an abundant number, since it is smaller than the sum of its proper divisors (82547896).

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

77441144 is a wasteful number, since it uses less digits than its factorization.

77441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8827 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 77441144 is about 8800.0649997599. The cubic root of 77441144 is about 426.2429936098.

It can be divided in two parts, 7744 and 1144, that added together give a palindrome (8888).

The spelling of 77441144 in words is "seventy-seven million, four hundred forty-one thousand, one hundred forty-four".