76818448 has 80 divisors (see below), whose sum is σ = 179095680. Its totient is φ = 31223808.

The previous prime is 76818437. The next prime is 76818449. The reversal of 76818448 is 84481867.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76818398 and 76818407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76818449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217440 + ... + 217792.

It is an arithmetic number, because the mean of its divisors is an integer number (2238696).

Almost surely, 2^76818448 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 76818448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89547840).

76818448 is an abundant number, since it is smaller than the sum of its proper divisors (102277232).

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

76818448 is a wasteful number, since it uses less digits than its factorization.

76818448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

The square root of 76818448 is about 8764.6133970644. The cubic root of 76818448 is about 425.0974595408.

It can be divided in two parts, 7681 and 8448, that added together give a square (16129 = 127²).

The spelling of 76818448 in words is "seventy-six million, eight hundred eighteen thousand, four hundred forty-eight".