78658848 has 72 divisors (see below), whose sum is σ = 225758988. Its totient is φ = 25976832.

The previous prime is 78658843. The next prime is 78658889. The reversal of 78658848 is 84885687.

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 17424 = 8868^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 78658794 and 78658803.

It is not an unprimeable number, because it can be changed into a prime (78658843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31336 + ... + 33752.

Almost surely, 2^78658848 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 78658848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112879494).

78658848 is an abundant number, since it is smaller than the sum of its proper divisors (147100140).

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

78658848 is a wasteful number, since it uses less digits than its factorization.

78658848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2535 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 78658848 is about 8868.9823542501. The cubic root of 78658848 is about 428.4655022022.

The spelling of 78658848 in words is "seventy-eight million, six hundred fifty-eight thousand, eight hundred forty-eight".