78617806848 has 480 divisors, whose sum is σ = 272086214400. Its totient is φ = 22152019968.

The previous prime is 78617806831. The next prime is 78617806873. The reversal of 78617806848 is 84860871687.

78617806848 is a `hidden beast` number, since 7 + 8 + 617 + 8 + 0 + 6 + 8 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91735636 + ... + 91736492.

It is an arithmetic number, because the mean of its divisors is an integer number (566846280).

Almost surely, 2^78617806848 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 78617806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136043107200).

78617806848 is an abundant number, since it is smaller than the sum of its proper divisors (193468407552).

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

78617806848 is an equidigital number, since it uses as much as digits as its factorization.

78617806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 78617806848 in words is "seventy-eight billion, six hundred seventeen million, eight hundred six thousand, eight hundred forty-eight".