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809326080 = 293551301
BaseRepresentation
bin110000001111010…
…101011000000000
32002101220000200000
4300033111120000
53124141413310
6212150400000
726025105153
oct6017253000
92071800600
10809326080
11385930732
121a7060000
13cb899a94
14796b5c9a
154b0ba4c0
hex303d5600

809326080 has 240 divisors, whose sum is σ = 2908970064. Its totient is φ = 215654400.

The previous prime is 809326009. The next prime is 809326081. The reversal of 809326080 is 80623908.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809326081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621430 + ... + 622730.

Almost surely, 2809326080 is an apocalyptic number.

809326080 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 809326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454485032).

809326080 is an abundant number, since it is smaller than the sum of its proper divisors (2099643984).

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

809326080 is an equidigital number, since it uses as much as digits as its factorization.

809326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 809326080 is about 28448.6569103007. The cubic root of 809326080 is about 931.9111583118.

Adding to 809326080 its reverse (80623908), we get a palindrome (889949988).

The spelling of 809326080 in words is "eight hundred nine million, three hundred twenty-six thousand, eighty".