53780 has 12 divisors (see below), whose sum is σ = 112980. Its totient is φ = 21504.

The previous prime is 53777. The next prime is 53783. The reversal of 53780 is 8735.

It is an interprime number because it is at equal distance from previous prime (53777) and next prime (53783).

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 44944 = 94^2 + 212^2 .

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 53780.

It is not an unprimeable number, because it can be changed into a prime (53783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (9415).

2⁵³⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

53780 is an abundant number, since it is smaller than the sum of its proper divisors (59200).

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 (56490).

53780 is a wasteful number, since it uses less digits than its factorization.

53780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 53780 is about 231.9051530260. The cubic root of 53780 is about 37.7462315142.

The spelling of 53780 in words is "fifty-three thousand, seven hundred eighty".