78808536576 has 1600 divisors, whose sum is σ = 325123476480. Its totient is φ = 18393661440.

The previous prime is 78808536563. The next prime is 78808536577. The reversal of 78808536576 is 67563580887.

78808536576 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 8 + 53 + 6 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78808536577) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2129960430 + ... + 2129960466.

Almost surely, 2^78808536576 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 78808536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162561738240).

78808536576 is an abundant number, since it is smaller than the sum of its proper divisors (246314939904).

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

78808536576 is a wasteful number, since it uses less digits than its factorization.

78808536576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 78808536576 in words is "seventy-eight billion, eight hundred eight million, five hundred thirty-six thousand, five hundred seventy-six".