814086000 has 720 divisors, whose sum is σ = 3612143808. Its totient is φ = 169344000.

The previous prime is 814085971. The next prime is 814086001. The reversal of 814086000 is 680418.

814086000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814086001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11465965 + ... + 11466035.

Almost surely, 2^814086000 is an apocalyptic number.

814086000 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 814086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806071904).

814086000 is an abundant number, since it is smaller than the sum of its proper divisors (2798057808).

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

814086000 is a wasteful number, since it uses less digits than its factorization.

814086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 814086000 is about 28532.1923447884. The cubic root of 814086000 is about 933.7345497247.

The spelling of 814086000 in words is "eight hundred fourteen million, eighty-six thousand".