78451384320 has 336 divisors, whose sum is σ = 276634163520. Its totient is φ = 20560084992.

The previous prime is 78451384309. The next prime is 78451384337. The reversal of 78451384320 is 2348315487.

78451384320 is a `hidden beast` number, since 7 + 84 + 5 + 138 + 432 + 0 = 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21747957 + ... + 21751563.

Almost surely, 2^78451384320 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 78451384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138317081760).

78451384320 is an abundant number, since it is smaller than the sum of its proper divisors (198182779200).

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

78451384320 is a wasteful number, since it uses less digits than its factorization.

78451384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 78451384320 in words is "seventy-eight billion, four hundred fifty-one million, three hundred eighty-four thousand, three hundred twenty".