78801320448 has 200 divisors, whose sum is σ = 243315291780. Its totient is φ = 25360957440.

The previous prime is 78801320371. The next prime is 78801320467. The reversal of 78801320448 is 84402310887.

78801320448 is a `hidden beast` number, since 78 + 8 + 0 + 132 + 0 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78606215424 + 195105024 = 280368^2 + 13968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1169928 + ... + 1235448.

Almost surely, 2^78801320448 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 78801320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121657645890).

78801320448 is an abundant number, since it is smaller than the sum of its proper divisors (164513971332).

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

78801320448 is an equidigital number, since it uses as much as digits as its factorization.

78801320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65580 (or 65555 counting only the distinct ones).

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

The spelling of 78801320448 in words is "seventy-eight billion, eight hundred one million, three hundred twenty thousand, four hundred forty-eight".