810000 has 125 divisors (see below), whose sum is σ = 2929531. Its totient is φ = 216000.

The previous prime is 809993. The next prime is 810013. The reversal of 810000 is 18.

The square root of 810000 is 900.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 746496 = 252^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is a super-2 number, since 2×810000^{2} = 1312200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10 and base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

810000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 161998 + ... + 162002.

2^{810000} is an apocalyptic number.

810000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

810000 is the 900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810000

810000 is an abundant number, since it is smaller than the sum of its proper divisors (2119531).

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

810000 is an equidigital number, since it uses as much as digits as its factorization.

810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 810000 is about 93.2169751786.

Adding to 810000 its reverse (18), we get a palindrome (810018).

The spelling of 810000 in words is "eight hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 125 135 144 150 162 180 200 216 225 240 250 270 300 324 360 375 400 405 432 450 500 540 600 625 648 675 720 750 810 900 1000 1080 1125 1200 1250 1296 1350 1500 1620 1800 1875 2000 2025 2160 2250 2500 2700 3000 3240 3375 3600 3750 4050 4500 5000 5400 5625 6000 6480 6750 7500 8100 9000 10000 10125 10800 11250 13500 15000 16200 16875 18000 20250 22500 27000 30000 32400 33750 40500 45000 50625 54000 67500 81000 90000 101250 135000 162000 202500 270000 405000 810000

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