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768083805 = 32517068529
BaseRepresentation
bin101101110010000…
…000011101011101
31222112021200220100
4231302000131131
53033112140210
6204114411313
725014414246
oct5562003535
91875250810
10768083805
11364621805
12195290b39
13c3189978
147401bccd
15476705c0
hex2dc8075d

768083805 has 12 divisors (see below), whose sum is σ = 1331345340. Its totient is φ = 409644672.

The previous prime is 768083803. The next prime is 768083819. The reversal of 768083805 is 508380867.

768083805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 172186884 + 595896921 = 13122^2 + 24411^2 .

It is not a de Polignac number, because 768083805 - 21 = 768083803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 17068529 = 768083805 / (7 + 6 + 8 + 0 + 8 + 3 + 8 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768083803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8534220 + ... + 8534309.

It is an arithmetic number, because the mean of its divisors is an integer number (110945445).

Almost surely, 2768083805 is an apocalyptic number.

It is an amenable number.

768083805 is a deficient number, since it is larger than the sum of its proper divisors (563261535).

768083805 is a wasteful number, since it uses less digits than its factorization.

768083805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068540 (or 17068537 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 768083805 is about 27714.3249060842. The cubic root of 768083805 is about 915.8047028232.

The spelling of 768083805 in words is "seven hundred sixty-eight million, eighty-three thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 17068529 51205587 85342645 153616761 256027935 768083805