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766130807 = 1331107109163
BaseRepresentation
bin101101101010100…
…011101001110111
31222101121110220002
4231222203221313
53032112141212
6204004501515
724662001341
oct5552435167
91871543802
10766130807
11363508462
121946aa89b
13c2954a50
1473a70291
15473d6ac2
hex2daa3a77

766130807 has 32 divisors (see below), whose sum is σ = 872847360. Its totient is φ = 667647360.

The previous prime is 766130803. The next prime is 766130809. The reversal of 766130807 is 708031667.

It is a cyclic number.

It is not a de Polignac number, because 766130807 - 22 = 766130803 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766130801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700108 + ... + 4700270.

It is an arithmetic number, because the mean of its divisors is an integer number (27276480).

Almost surely, 2766130807 is an apocalyptic number.

766130807 is a deficient number, since it is larger than the sum of its proper divisors (106716553).

766130807 is a wasteful number, since it uses less digits than its factorization.

766130807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 766130807 is about 27679.0680298308. The cubic root of 766130807 is about 915.0278419271.

The spelling of 766130807 in words is "seven hundred sixty-six million, one hundred thirty thousand, eight hundred seven".

Divisors: 1 13 31 107 109 163 403 1391 1417 2119 3317 3379 5053 11663 17441 17767 43121 43927 65689 151619 226733 230971 361553 540671 550777 1901069 4700189 7028723 7160101 24713897 58933139 766130807