45780 has 48 divisors (see below), whose sum is σ = 147840. Its totient is φ = 10368.

The previous prime is 45779. The next prime is 45817. The reversal of 45780 is 8754.

45780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 45780.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (3080).

2⁴⁵⁷⁸⁰ 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 45780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920).

45780 is an abundant number, since it is smaller than the sum of its proper divisors (102060).

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

45780 is a wasteful number, since it uses less digits than its factorization.

45780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

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

The square root of 45780 is about 213.9626135567. The cubic root of 45780 is about 35.7732663519.

The spelling of 45780 in words is "forty-five thousand, seven hundred eighty".