77841344 has 56 divisors (see below), whose sum is σ = 177515520. Its totient is φ = 33175296.

The previous prime is 77841311. The next prime is 77841349. The reversal of 77841344 is 44314877.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 77841298 and 77841307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77841349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106709 + ... + 107435.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^77841344 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 77841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

77841344 is an abundant number, since it is smaller than the sum of its proper divisors (99674176).

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

77841344 is a wasteful number, since it uses less digits than its factorization.

77841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 975 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 77841344 is about 8822.7741668933. The cubic root of 77841344 is about 426.9759779680.

The spelling of 77841344 in words is "seventy-seven million, eight hundred forty-one thousand, three hundred forty-four".