77118944 has 72 divisors (see below), whose sum is σ = 178400880. Its totient is φ = 32718336.

The previous prime is 77118913. The next prime is 77118949. The reversal of 77118944 is 44981177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77118949) 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 11 ways as a sum of consecutive naturals, for example, 214637 + ... + 214995.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 2^77118944 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 77118944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200440).

77118944 is an abundant number, since it is smaller than the sum of its proper divisors (101281936).

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

77118944 is a wasteful number, since it uses less digits than its factorization.

77118944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 77118944 is about 8781.7392354818. The cubic root of 77118944 is about 425.6510326617.

The spelling of 77118944 in words is "seventy-seven million, one hundred eighteen thousand, nine hundred forty-four".