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805280 = 2557719
BaseRepresentation
bin11000100100110100000
31111220122012
43010212200
5201232110
625132052
76562520
oct3044640
91456565
10805280
11500023
1232a028
132226c8
1416d680
1510d905
hexc49a0

805280 has 48 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 275712.

The previous prime is 805279. The next prime is 805289. The reversal of 805280 is 82508.

It is not an unprimeable number, because it can be changed into a prime (805289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 761 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2805280 is an apocalyptic number.

805280 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 805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

805280 is an abundant number, since it is smaller than the sum of its proper divisors (1372000).

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

805280 is a wasteful number, since it uses less digits than its factorization.

805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 805280 is about 897.3739465797. The cubic root of 805280 is about 93.0355589154.

Adding to 805280 its reverse (82508), we get a palindrome (887788).

The spelling of 805280 in words is "eight hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 719 1120 1438 2876 3595 5033 5752 7190 10066 11504 14380 20132 23008 25165 28760 40264 50330 57520 80528 100660 115040 161056 201320 402640 805280