814080 has 88 divisors (see below), whose sum is σ = 2652912. Its totient is φ = 212992.

The previous prime is 814069. The next prime is 814081. The reversal of 814080 is 80418.

It is not an unprimeable number, because it can be changed into a prime (814081) by changing a digit.

814080 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 7 ways as a sum of consecutive naturals, for example, 15334 + ... + 15386.

2⁸¹⁴⁰⁸⁰ is an apocalyptic number.

814080 is a gapful number since it is divisible by the number (80) 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 814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326456).

814080 is an abundant number, since it is smaller than the sum of its proper divisors (1838832).

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

814080 is a wasteful number, since it uses less digits than its factorization.

814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 814080 is about 902.2638195118. The cubic root of 814080 is about 93.3732255773.

Adding to 814080 its reverse (80418), we get a palindrome (894498).

The spelling of 814080 in words is "eight hundred fourteen thousand, eighty".