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805066080 = 253572132633
BaseRepresentation
bin101111111111000…
…101010101100000
32002002212121001020
4233333011111200
53122044103310
6211515205440
725643643300
oct5777052540
92062777036
10805066080
11383491075
121a5746880
13caa37a80
1478cc7600
154aa28170
hex2ffc5560

805066080 has 288 divisors, whose sum is σ = 3178121184. Its totient is φ = 169795584.

The previous prime is 805066061. The next prime is 805066109. The reversal of 805066080 is 80660508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304444 + ... + 307076.

It is an arithmetic number, because the mean of its divisors is an integer number (11035143).

Almost surely, 2805066080 is an apocalyptic number.

805066080 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 805066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589060592).

805066080 is an abundant number, since it is smaller than the sum of its proper divisors (2373055104).

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

805066080 is a wasteful number, since it uses less digits than its factorization.

805066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 805066080 is about 28373.6864013120. The cubic root of 805066080 is about 930.2731998840.

The spelling of 805066080 in words is "eight hundred five million, sixty-six thousand, eighty".