90780 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 22528.

The previous prime is 90749. The next prime is 90787. The reversal of 90780 is 8709.

90780 = 103² + 104² + ... + 110².

It is a self number, because there is not a number n which added to its sum of digits gives 90780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁹⁰⁷⁸⁰ 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 90780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

90780 is an abundant number, since it is smaller than the sum of its proper divisors (181380).

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

90780 is a wasteful number, since it uses less digits than its factorization.

90780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

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

The square root of 90780 is about 301.2971954732. The cubic root of 90780 is about 44.9431380561.

The spelling of 90780 in words is "ninety thousand, seven hundred eighty".