90078 has 8 divisors (see below), whose sum is σ = 180168. Its totient is φ = 30024.

The previous prime is 90073. The next prime is 90089. The reversal of 90078 is 87009.

It is a sphenic number, since it is the product of 3 distinct primes.

90078 is an admirable number.

It is a super-2 number, since 2×90078² = 16228092168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7501 + ... + 7512.

It is an arithmetic number, because the mean of its divisors is an integer number (22521).

2⁹⁰⁰⁷⁸ is an apocalyptic number.

90078 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 (90084).

90078 is a wasteful number, since it uses less digits than its factorization.

90078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 90078 is about 300.1299718455. The cubic root of 90078 is about 44.8269900077.

The spelling of 90078 in words is "ninety thousand, seventy-eight".