58780 has 12 divisors (see below), whose sum is σ = 123480. Its totient is φ = 23504.

The previous prime is 58771. The next prime is 58787. The reversal of 58780 is 8785.

58780 = T₄₇ + T₄₈ + ... + T₇₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58787) by changing a digit.

58780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1450 + ... + 1489.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2⁵⁸⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

58780 is an abundant number, since it is smaller than the sum of its proper divisors (64700).

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 (61740).

58780 is a wasteful number, since it uses less digits than its factorization.

58780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 58780 is about 242.4458702474. The cubic root of 58780 is about 38.8815163651.

It can be divided in two parts, 58 and 780, that added together give a palindrome (838).

The spelling of 58780 in words is "fifty-eight thousand, seven hundred eighty".