77443344 has 160 divisors (see below), whose sum is σ = 248793600. Its totient is φ = 22861440.

The previous prime is 77443337. The next prime is 77443391. The reversal of 77443344 is 44334477.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 77443299 and 77443308.

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 31 ways as a sum of consecutive naturals, for example, 204147 + ... + 204525.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 2^77443344 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 77443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124396800).

77443344 is an abundant number, since it is smaller than the sum of its proper divisors (171350256).

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

77443344 is a wasteful number, since it uses less digits than its factorization.

77443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 77443344 is about 8800.1899979489. The cubic root of 77443344 is about 426.2470299039.

It can be divided in two parts, 774433 and 44, that added together give a palindrome (774477).

The spelling of 77443344 in words is "seventy-seven million, four hundred forty-three thousand, three hundred forty-four".