78975 has 36 divisors (see below), whose sum is σ = 157976. Its totient is φ = 38880.

The previous prime is 78941. The next prime is 78977. The reversal of 78975 is 57987.

78975 = 15³ + 16³ + ... + 24³.

78975 is an admirable number.

It is not a de Polignac number, because 78975 - 2¹⁰ = 77951 is a prime.

Its product of digits (17640) is a multiple of the sum of its prime divisors (21).

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 (78977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6069 + ... + 6081.

78975 is a Friedman number, since it can be written as 8775*9, using all its digits and the basic arithmetic operations.

2⁷⁸⁹⁷⁵ is an apocalyptic number.

78975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78975 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988).

78975 is a wasteful number, since it uses less digits than its factorization.

78975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 78975 is about 281.0249099279. The cubic root of 78975 is about 42.9038775897.

The spelling of 78975 in words is "seventy-eight thousand, nine hundred seventy-five".