Base | Representation |
---|---|
bin | 101101110001101… |
… | …100000000000000 |
3 | 1222112010102221110 |
4 | 231301230000000 |
5 | 3033102000000 |
6 | 204112523320 |
7 | 25013615025 |
oct | 5561540000 |
9 | 1875112843 |
10 | 768000000 |
11 | 364574849 |
12 | 195250540 |
13 | c315a791 |
14 | 73dd954c |
15 | 47655850 |
hex | 2dc6c000 |
768000000 has 210 divisors, whose sum is σ = 2559889108. Its totient is φ = 204800000.
The previous prime is 767999993. The next prime is 768000019. The reversal of 768000000 is 867.
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 153599998 + ... + 153600002.
Almost surely, 2768000000 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 768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279944554).
768000000 is an abundant number, since it is smaller than the sum of its proper divisors (1791889108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
768000000 is an frugal number, since it uses more digits than its factorization.
768000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 21.
The square root of 768000000 is about 27712.8129211020. The cubic root of 768000000 is about 915.7713940427.
Adding to 768000000 its reverse (867), we get a palindrome (768000867).
Multiplying 768000000 by its reverse (867), we get a square (665856000000 = 8160002).
The spelling of 768000000 in words is "seven hundred sixty-eight million", and thus it is an aban number.
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