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800856 = 233272227
BaseRepresentation
bin11000011100001011000
31111200120100
43003201120
5201111411
625055400
76543600
oct3034130
91450510
10800856
114a7771
12327560
132206a4
1416bc00
1510c456
hexc3858

800856 has 72 divisors (see below), whose sum is σ = 2534220. Its totient is φ = 227808.

The previous prime is 800801. The next prime is 800861. The reversal of 800856 is 658008.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

800856 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 17 ways as a sum of consecutive naturals, for example, 3415 + ... + 3641.

2800856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267110).

800856 is an abundant number, since it is smaller than the sum of its proper divisors (1733364).

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

800856 is a wasteful number, since it uses less digits than its factorization.

800856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 800856 is about 894.9055816118. The cubic root of 800856 is about 92.8648748704.

The spelling of 800856 in words is "eight hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 227 252 294 392 441 454 504 588 681 882 908 1176 1362 1589 1764 1816 2043 2724 3178 3528 4086 4767 5448 6356 8172 9534 11123 12712 14301 16344 19068 22246 28602 33369 38136 44492 57204 66738 88984 100107 114408 133476 200214 266952 400428 800856