360780 has 48 divisors (see below), whose sum is σ = 1155840. Its totient is φ = 82368.

The previous prime is 360779. The next prime is 360781. The reversal of 360780 is 87063.

360780 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (360779) and next prime (360781).

It is a self number, because there is not a number n which added to its sum of digits gives 360780.

It is not an unprimeable number, because it can be changed into a prime (360781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (24080).

2³⁶⁰⁷⁸⁰ is an apocalyptic number.

360780 is a gapful number since it is divisible by the number (30) 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 360780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577920).

360780 is an abundant number, since it is smaller than the sum of its proper divisors (795060).

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

360780 is a wasteful number, since it uses less digits than its factorization.

360780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

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

The square root of 360780 is about 600.6496482976. The cubic root of 360780 is about 71.1892063763.

The spelling of 360780 in words is "three hundred sixty thousand, seven hundred eighty".