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768087460 = 22575486339
BaseRepresentation
bin101101110010000…
…001010110100100
31222112021212220201
4231302001112210
53033112244320
6204114440244
725014431020
oct5562012644
91875255821
10768087460
11364624528
12195293084
13c318b52a
147401d380
154767170a
hex2dc815a4

768087460 has 24 divisors (see below), whose sum is σ = 1843410240. Its totient is φ = 263344224.

The previous prime is 768087431. The next prime is 768087469. The reversal of 768087460 is 64780867.

It is a self number, because there is not a number n which added to its sum of digits gives 768087460.

It is not an unprimeable number, because it can be changed into a prime (768087469) 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, 2743030 + ... + 2743309.

It is an arithmetic number, because the mean of its divisors is an integer number (76808760).

Almost surely, 2768087460 is an apocalyptic number.

768087460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

768087460 is an abundant number, since it is smaller than the sum of its proper divisors (1075322780).

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

768087460 is a wasteful number, since it uses less digits than its factorization.

768087460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486355 (or 5486353 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 768087460 is about 27714.3908466342. The cubic root of 768087460 is about 915.8061554689.

The spelling of 768087460 in words is "seven hundred sixty-eight million, eighty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 5486339 10972678 21945356 27431695 38404373 54863390 76808746 109726780 153617492 192021865 384043730 768087460