24780 has 48 divisors (see below), whose sum is σ = 80640. Its totient is φ = 5568.

The previous prime is 24767. The next prime is 24781. The reversal of 24780 is 8742.

It is a happy number.

It is a super-2 number, since 2×24780² = 1228096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (24781) 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, 391 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2²⁴⁷⁸⁰ is an apocalyptic number.

24780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

24780 is an abundant number, since it is smaller than the sum of its proper divisors (55860).

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

24780 is a wasteful number, since it uses less digits than its factorization.

24780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 24780 is about 157.4166446091. The cubic root of 24780 is about 29.1541533624.

The spelling of 24780 in words is "twenty-four thousand, seven hundred eighty".