76788390448 has 320 divisors, whose sum is σ = 203134998528. Its totient is φ = 27203420160.

The previous prime is 76788390439. The next prime is 76788390449. The reversal of 76788390448 is 84409388767.

It is a self number, because there is not a number n which added to its sum of digits gives 76788390448.

It is not an unprimeable number, because it can be changed into a prime (76788390449) 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 63 ways as a sum of consecutive naturals, for example, 152660565 + ... + 152661067.

Almost surely, 2^76788390448 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 76788390448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101567499264).

76788390448 is an abundant number, since it is smaller than the sum of its proper divisors (126346608080).

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

76788390448 is a wasteful number, since it uses less digits than its factorization.

76788390448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 76788390448 in words is "seventy-six billion, seven hundred eighty-eight million, three hundred ninety thousand, four hundred forty-eight".