78948 has 48 divisors (see below), whose sum is σ = 221760. Its totient is φ = 24192.

The previous prime is 78941. The next prime is 78977. The reversal of 78948 is 84987.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (78941) by changing a digit.

78948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1815 + ... + 1857.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁷⁸⁹⁴⁸ 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 78948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

78948 is an abundant number, since it is smaller than the sum of its proper divisors (142812).

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

78948 is a wasteful number, since it uses less digits than its factorization.

78948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 78948 is about 280.9768673752. The cubic root of 78948 is about 42.8989877017.

The spelling of 78948 in words is "seventy-eight thousand, nine hundred forty-eight".