53777344 has 28 divisors (see below), whose sum is σ = 107725464. Its totient is φ = 26633984.

The previous prime is 53777333. The next prime is 53777357. The reversal of 53777344 is 44377735.

It is a junction number, because it is equal to n+sod(n) for n = 53777297 and 53777306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2922 + ... + 10774.

It is an arithmetic number, because the mean of its divisors is an integer number (3847338).

Almost surely, 2^53777344 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 53777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53862732).

53777344 is an abundant number, since it is smaller than the sum of its proper divisors (53948120).

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

53777344 is a wasteful number, since it uses less digits than its factorization.

53777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7962 counting only the distinct ones).

The product of its digits is 246960, while the sum is 40.

The square root of 53777344 is about 7333.3037575161. The cubic root of 53777344 is about 377.4561012064.

It can be divided in two parts, 5377 and 7344, that added together give a palindrome (12721).

The spelling of 53777344 in words is "fifty-three million, seven hundred seventy-seven thousand, three hundred forty-four".