75978 has 40 divisors (see below), whose sum is σ = 197472. Its totient is φ = 21384.

The previous prime is 75967. The next prime is 75979. The reversal of 75978 is 87957.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75978.

It is not an unprimeable number, because it can be changed into a prime (75979) by changing a digit.

75978 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 19 ways as a sum of consecutive naturals, for example, 1101 + ... + 1167.

2⁷⁵⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98736).

75978 is an abundant number, since it is smaller than the sum of its proper divisors (121494).

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

75978 is a wasteful number, since it uses less digits than its factorization.

75978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

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

The square root of 75978 is about 275.6410709600. The cubic root of 75978 is about 42.3541482499.

The spelling of 75978 in words is "seventy-five thousand, nine hundred seventy-eight".