768800448 has 168 divisors, whose sum is σ = 2403671088. Its totient is φ = 233515008.

The previous prime is 768800447. The next prime is 768800491. The reversal of 768800448 is 844008867.

It is not an unprimeable number, because it can be changed into a prime (768800441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620886 + ... + 622122.

It is an arithmetic number, because the mean of its divisors is an integer number (14307566).

Almost surely, 2^768800448 is an apocalyptic number.

768800448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201835544).

768800448 is an abundant number, since it is smaller than the sum of its proper divisors (1634870640).

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

768800448 is a wasteful number, since it uses less digits than its factorization.

768800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 768800448 is about 27727.2509996934. The cubic root of 768800448 is about 916.0894378197.

The spelling of 768800448 in words is "seven hundred sixty-eight million, eight hundred thousand, four hundred forty-eight".