78648 has 32 divisors (see below), whose sum is σ = 205200. Its totient is φ = 25088.

The previous prime is 78643. The next prime is 78649. The reversal of 78648 is 84687.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640 + ... + 752.

2⁷⁸⁶⁴⁸ 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 78648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600).

78648 is an abundant number, since it is smaller than the sum of its proper divisors (126552).

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

78648 is a wasteful number, since it uses less digits than its factorization.

78648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 78648 is about 280.4425074770. The cubic root of 78648 is about 42.8445804450.

Subtracting from 78648 its product of digits (10752), we obtain a triangular number (67896 = T₃₆₈).

The spelling of 78648 in words is "seventy-eight thousand, six hundred forty-eight".