78808844520 has 192 divisors, whose sum is σ = 292890349440. Its totient is φ = 18002880000.

The previous prime is 78808844509. The next prime is 78808844551. The reversal of 78808844520 is 2544880887.

78808844520 is a `hidden beast` number, since 78 + 8 + 0 + 8 + 8 + 44 + 520 = 666.

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, 4782295 + ... + 4798745.

It is an arithmetic number, because the mean of its divisors is an integer number (1525470570).

Almost surely, 2^78808844520 is an apocalyptic number.

78808844520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78808844520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146445174720).

78808844520 is an abundant number, since it is smaller than the sum of its proper divisors (214081504920).

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

78808844520 is a wasteful number, since it uses less digits than its factorization.

78808844520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 78808844520 in words is "seventy-eight billion, eight hundred eight million, eight hundred forty-four thousand, five hundred twenty".