814000 has 80 divisors (see below), whose sum is σ = 2205216. Its totient is φ = 288000.

The previous prime is 813997. The next prime is 814003. The reversal of 814000 is 418.

814000 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 (813997) and next prime (814003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21982 + ... + 22018.

2⁸¹⁴⁰⁰⁰ is an apocalyptic number.

814000 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 814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102608).

814000 is an abundant number, since it is smaller than the sum of its proper divisors (1391216).

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

814000 is a wasteful number, since it uses less digits than its factorization.

814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 814000 is about 902.2194854912. The cubic root of 814000 is about 93.3701668678.

Adding to 814000 its reverse (418), we get a palindrome (814418).

The spelling of 814000 in words is "eight hundred fourteen thousand".