78505820928 has 324 divisors, whose sum is σ = 245444607408. Its totient is φ = 24111820800.

The previous prime is 78505820873. The next prime is 78505820941. The reversal of 78505820928 is 82902850587.

78505820928 is a `hidden beast` number, since 7 + 8 + 50 + 582 + 0 + 9 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30773253 + ... + 30775803.

Almost surely, 2^78505820928 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 78505820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122722303704).

78505820928 is an abundant number, since it is smaller than the sum of its proper divisors (166938786480).

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

78505820928 is a wasteful number, since it uses less digits than its factorization.

78505820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 78505820928 in words is "seventy-eight billion, five hundred five million, eight hundred twenty thousand, nine hundred twenty-eight".