45078 has 16 divisors (see below), whose sum is σ = 98496. Its totient is φ = 13640.

The previous prime is 45077. The next prime is 45083. The reversal of 45078 is 87054.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45077) 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, 276 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁴⁵⁰⁷⁸ is an apocalyptic number.

45078 is an abundant number, since it is smaller than the sum of its proper divisors (53418).

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 (49248).

45078 is a wasteful number, since it uses less digits than its factorization.

45078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 45078 is about 212.3158025207. The cubic root of 45078 is about 35.5894721215.

Subtracting from 45078 its sum of digits (24), we obtain a palindrome (45054).

It can be divided in two parts, 450 and 78, that added together give a triangular number (528 = T₃₂).

The spelling of 45078 in words is "forty-five thousand, seventy-eight".