76035734448 has 80 divisors (see below), whose sum is σ = 201645474816. Its totient is φ = 24677314560.

The previous prime is 76035734443. The next prime is 76035734449. The reversal of 76035734448 is 84443753067.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76035734448.

It is not an unprimeable number, because it can be changed into a prime (76035734443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348093 + ... + 522723.

Almost surely, 2^76035734448 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 76035734448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100822737408).

76035734448 is an abundant number, since it is smaller than the sum of its proper divisors (125609740368).

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

76035734448 is a wasteful number, since it uses less digits than its factorization.

76035734448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174882 (or 174876 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 76035734448 in words is "seventy-six billion, thirty-five million, seven hundred thirty-four thousand, four hundred forty-eight".