78448020480 has 528 divisors, whose sum is σ = 298549873440. Its totient is φ = 19683606528.

The previous prime is 78448020461. The next prime is 78448020491. The reversal of 78448020480 is 8402084487.

It is a happy number.

78448020480 is a `hidden beast` number, since 78 + 4 + 4 + 80 + 20 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21148866 + ... + 21152574.

Almost surely, 2^78448020480 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 78448020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149274936720).

78448020480 is an abundant number, since it is smaller than the sum of its proper divisors (220101852960).

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

78448020480 is a wasteful number, since it uses less digits than its factorization.

78448020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 78448020480 in words is "seventy-eight billion, four hundred forty-eight million, twenty thousand, four hundred eighty".