38780 has 24 divisors (see below), whose sum is σ = 93408. Its totient is φ = 13248.

The previous prime is 38767. The next prime is 38783. The reversal of 38780 is 8783.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38780.

It is not an unprimeable number, because it can be changed into a prime (38783) 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, 2 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (3892).

2³⁸⁷⁸⁰ 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 38780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46704).

38780 is an abundant number, since it is smaller than the sum of its proper divisors (54628).

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

38780 is a wasteful number, since it uses less digits than its factorization.

38780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 38780 is about 196.9263821838. The cubic root of 38780 is about 33.8482277814.

It can be divided in two parts, 38 and 780, that added together give a palindrome (818).

The spelling of 38780 in words is "thirty-eight thousand, seven hundred eighty".