78286848 has 104 divisors (see below), whose sum is σ = 218601408. Its totient is φ = 24870912.

The previous prime is 78286847. The next prime is 78286849. The reversal of 78286848 is 84868287.

It is an interprime number because it is at equal distance from previous prime (78286847) and next prime (78286849).

It is a super-2 number, since 2×78286848² = 12257661139550208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78286848.

It is not an unprimeable number, because it can be changed into a prime (78286841) 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, 282486 + ... + 282762.

Almost surely, 2^78286848 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 78286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109300704).

78286848 is an abundant number, since it is smaller than the sum of its proper divisors (140314560).

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

78286848 is a wasteful number, since it uses less digits than its factorization.

78286848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 78286848 is about 8847.9855334421. The cubic root of 78286848 is about 427.7889896476.

The spelling of 78286848 in words is "seventy-eight million, two hundred eighty-six thousand, eight hundred forty-eight".