78686208 has 96 divisors (see below), whose sum is σ = 233251200. Its totient is φ = 26210304.

The previous prime is 78686203. The next prime is 78686213. The reversal of 78686208 is 80268687.

It is an interprime number because it is at equal distance from previous prime (78686203) and next prime (78686213).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×78686208³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (78686203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54585 + ... + 56007.

It is an arithmetic number, because the mean of its divisors is an integer number (2429700).

Almost surely, 2^78686208 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 78686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116625600).

78686208 is an abundant number, since it is smaller than the sum of its proper divisors (154564992).

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

78686208 is a wasteful number, since it uses less digits than its factorization.

78686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 78686208 is about 8870.5246744485. The cubic root of 78686208 is about 428.5151743307.

The spelling of 78686208 in words is "seventy-eight million, six hundred eighty-six thousand, two hundred eight".