76344104448 has 400 divisors, whose sum is σ = 237693067920. Its totient is φ = 24374476800.

The previous prime is 76344104387. The next prime is 76344104449. The reversal of 76344104448 is 84440144367.

It is a happy number.

76344104448 is a `hidden beast` number, since 7 + 63 + 44 + 104 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76344104449) 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, 100320388 + ... + 100321148.

Almost surely, 2^76344104448 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 76344104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118846533960).

76344104448 is an abundant number, since it is smaller than the sum of its proper divisors (161348963472).

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

76344104448 is an equidigital number, since it uses as much as digits as its factorization.

76344104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 76344104448 in words is "seventy-six billion, three hundred forty-four million, one hundred four thousand, four hundred forty-eight".