78824752128 has 308 divisors, whose sum is σ = 246576183168. Its totient is φ = 25127055360.

The previous prime is 78824752103. The next prime is 78824752157. The reversal of 78824752128 is 82125742887.

78824752128 is a `hidden beast` number, since 78 + 8 + 2 + 47 + 521 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17167113 + ... + 17171703.

Almost surely, 2^78824752128 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 78824752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123288091584).

78824752128 is an abundant number, since it is smaller than the sum of its proper divisors (167751431040).

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

78824752128 is an equidigital number, since it uses as much as digits as its factorization.

78824752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4619 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The spelling of 78824752128 in words is "seventy-eight billion, eight hundred twenty-four million, seven hundred fifty-two thousand, one hundred twenty-eight".