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768925680 = 24353203857
BaseRepresentation
bin101101110101001…
…101111111110000
31222120212110201220
4231311031333300
53033321110210
6204144425040
725024521555
oct5565157760
91876773656
10768925680
11365047276
12195618180
13c33c2c13
147419aa2c
1547789c70
hex2dd4dff0

768925680 has 40 divisors (see below), whose sum is σ = 2383670352. Its totient is φ = 205046784.

The previous prime is 768925667. The next prime is 768925681. The reversal of 768925680 is 86529867.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768925681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1601689 + ... + 1602168.

Almost surely, 2768925680 is an apocalyptic number.

It is an amenable number.

768925680 is an abundant number, since it is smaller than the sum of its proper divisors (1614744672).

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

768925680 is a wasteful number, since it uses less digits than its factorization.

768925680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203873 (or 3203867 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 768925680 is about 27729.5091914733. The cubic root of 768925680 is about 916.1391765541.

The spelling of 768925680 in words is "seven hundred sixty-eight million, nine hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3203857 6407714 9611571 12815428 16019285 19223142 25630856 32038570 38446284 48057855 51261712 64077140 76892568 96115710 128154280 153785136 192231420 256308560 384462840 768925680