63780 has 24 divisors (see below), whose sum is σ = 178752. Its totient is φ = 16992.

The previous prime is 63773. The next prime is 63781. The reversal of 63780 is 8736.

63780 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 self number, because there is not a number n which added to its sum of digits gives 63780.

It is not an unprimeable number, because it can be changed into a prime (63781) 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, 472 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2⁶³⁷⁸⁰ is an apocalyptic number.

63780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63780 is an abundant number, since it is smaller than the sum of its proper divisors (114972).

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 (89376).

63780 is a wasteful number, since it uses less digits than its factorization.

63780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 63780 is about 252.5470253240. The cubic root of 63780 is about 39.9541140488.

It can be divided in two parts, 637 and 80, that added together give a palindrome (717).

The spelling of 63780 in words is "sixty-three thousand, seven hundred eighty".