814380 has 72 divisors (see below), whose sum is σ = 2662128. Its totient is φ = 185472.

The previous prime is 814379. The next prime is 814381. The reversal of 814380 is 83418.

814380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (814379) and next prime (814381).

It is a self number, because there is not a number n which added to its sum of digits gives 814380.

It is not an unprimeable number, because it can be changed into a prime (814381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2802 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (36974).

2⁸¹⁴³⁸⁰ 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 814380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331064).

814380 is an abundant number, since it is smaller than the sum of its proper divisors (1847748).

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

814380 is a wasteful number, since it uses less digits than its factorization.

814380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 814380 is about 902.4300526911. The cubic root of 814380 is about 93.3846939537.

Adding to 814380 its reverse (83418), we get a palindrome (897798).

The spelling of 814380 in words is "eight hundred fourteen thousand, three hundred eighty".