814880 has 48 divisors (see below), whose sum is σ = 2104704. Its totient is φ = 295680.

The previous prime is 814873. The next prime is 814883. The reversal of 814880 is 88418.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (814883) by changing a digit.

814880 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, 1529 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2⁸¹⁴⁸⁸⁰ is an apocalyptic number.

814880 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 814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052352).

814880 is an abundant number, since it is smaller than the sum of its proper divisors (1289824).

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

814880 is a wasteful number, since it uses less digits than its factorization.

814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 814880 is about 902.7070399637. The cubic root of 814880 is about 93.4038016571.

It can be divided in two parts, 8148 and 80, that added together give a palindrome (8228).

The spelling of 814880 in words is "eight hundred fourteen thousand, eight hundred eighty".