78605856 has 192 divisors, whose sum is σ = 269256960. Its totient is φ = 21841920.

The previous prime is 78605843. The next prime is 78605861. The reversal of 78605856 is 65850687.

78605856 is a `hidden beast` number, since 7 + 8 + 60 + 585 + 6 = 666.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247810 + ... + 248126.

It is an arithmetic number, because the mean of its divisors is an integer number (1402380).

Almost surely, 2^78605856 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 78605856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480).

78605856 is an abundant number, since it is smaller than the sum of its proper divisors (190651104).

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

78605856 is a wasteful number, since it uses less digits than its factorization.

78605856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 78605856 is about 8865.9943604764. The cubic root of 78605856 is about 428.3692623632.

The spelling of 78605856 in words is "seventy-eight million, six hundred five thousand, eight hundred fifty-six".