76048944 has 80 divisors (see below), whose sum is σ = 210343680. Its totient is φ = 23604480.

The previous prime is 76048927. The next prime is 76048967. The reversal of 76048944 is 44984067.

It is a junction number, because it is equal to n+sod(n) for n = 76048896 and 76048905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54949 + ... + 56315.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2^76048944 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 76048944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

76048944 is an abundant number, since it is smaller than the sum of its proper divisors (134294736).

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

76048944 is a wasteful number, since it uses less digits than its factorization.

76048944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 76048944 is about 8720.6045661984. The cubic root of 76048944 is about 423.6732679260.

The spelling of 76048944 in words is "seventy-six million, forty-eight thousand, nine hundred forty-four".