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768806944 = 2531775007
BaseRepresentation
bin101101110100110…
…001000000100000
31222120122102212021
4231310301000200
53033303310234
6204142111224
725023515443
oct5564610040
91876572767
10768806944
11364a76044
1219557b514
13c3380b69
147416965a
15477649b4
hex2dd31020

768806944 has 24 divisors (see below), whose sum is σ = 1562416128. Its totient is φ = 372002880.

The previous prime is 768806893. The next prime is 768806953. The reversal of 768806944 is 449608867.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 768806891 and 768806900.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 386512 + ... + 388495.

It is an arithmetic number, because the mean of its divisors is an integer number (65100672).

Almost surely, 2768806944 is an apocalyptic number.

It is an amenable number.

768806944 is an abundant number, since it is smaller than the sum of its proper divisors (793609184).

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

768806944 is a wasteful number, since it uses less digits than its factorization.

768806944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775048 (or 775040 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The square root of 768806944 is about 27727.3681405214. The cubic root of 768806944 is about 916.0920179865.

The spelling of 768806944 in words is "seven hundred sixty-eight million, eight hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 775007 1550014 3100028 6200056 12400112 24025217 24800224 48050434 96100868 192201736 384403472 768806944