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768905520 = 24353203773
BaseRepresentation
bin101101110101001…
…001000100110000
31222120211110002020
4231311021010300
53033314434040
6204144151440
725024406025
oct5565110460
91876743066
10768905520
11365033109
12195608580
13c33b69a6
147419354c
1547783cd0
hex2dd49130

768905520 has 40 divisors (see below), whose sum is σ = 2383607856. Its totient is φ = 205041408.

The previous prime is 768905519. The next prime is 768905521. The reversal of 768905520 is 25509867.

It is an interprime number because it is at equal distance from previous prime (768905519) and next prime (768905521).

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

It is not an unprimeable number, because it can be changed into a prime (768905521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1601647 + ... + 1602126.

Almost surely, 2768905520 is an apocalyptic number.

It is an amenable number.

768905520 is an abundant number, since it is smaller than the sum of its proper divisors (1614702336).

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

768905520 is a wasteful number, since it uses less digits than its factorization.

768905520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203789 (or 3203783 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 768905520 is about 27729.1456774276. The cubic root of 768905520 is about 916.1311699167.

The spelling of 768905520 in words is "seven hundred sixty-eight million, nine hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3203773 6407546 9611319 12815092 16018865 19222638 25630184 32037730 38445276 48056595 51260368 64075460 76890552 96113190 128150920 153781104 192226380 256301840 384452760 768905520