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805230720 = 2734572317
BaseRepresentation
bin101111111111101…
…101100010000000
32002010011221220000
4233333231202000
53122114340340
6211522520000
725645230300
oct5777554200
92063157800
10805230720
11383593838
121a5806000
13caa949a8
1478d2b600
154aa5bd30
hex2ffed880

805230720 has 480 divisors, whose sum is σ = 3355666380. Its totient is φ = 183472128.

The previous prime is 805230719. The next prime is 805230757. The reversal of 805230720 is 27032508.

It can be written as a sum of positive squares in 2 ways, for example, as 713530944 + 91699776 = 26712^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 2540002 + ... + 2540318.

Almost surely, 2805230720 is an apocalyptic number.

805230720 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 805230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677833190).

805230720 is an abundant number, since it is smaller than the sum of its proper divisors (2550435660).

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

805230720 is a wasteful number, since it uses less digits than its factorization.

805230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 805230720 is about 28376.5875326826. The cubic root of 805230720 is about 930.3366107203.

The spelling of 805230720 in words is "eight hundred five million, two hundred thirty thousand, seven hundred twenty".