76344444 has 120 divisors (see below), whose sum is σ = 225071616. Its totient is φ = 22356000.

The previous prime is 76344439. The next prime is 76344449. The reversal of 76344444 is 44444367.

It is an interprime number because it is at equal distance from previous prime (76344439) and next prime (76344449).

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

It is a junction number, because it is equal to n+sod(n) for n = 76344399 and 76344408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76344449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110139 + ... + 110829.

Almost surely, 2^76344444 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 76344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112535808).

76344444 is an abundant number, since it is smaller than the sum of its proper divisors (148727172).

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

76344444 is a wasteful number, since it uses less digits than its factorization.

76344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 76344444 is about 8737.5307724780. The cubic root of 76344444 is about 424.2213081650.

The spelling of 76344444 in words is "seventy-six million, three hundred forty-four thousand, four hundred forty-four".