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766664740 = 225411019257
BaseRepresentation
bin101101101100100…
…110000000100100
31222102121121022101
4231230212000210
53032231232430
6204024141444
724666354112
oct5554460044
91872547271
10766664740
11363842626
12194907884
13c2ab0a9a
1473b6cab2
154748edca
hex2db26024

766664740 has 48 divisors (see below), whose sum is σ = 1665773424. Its totient is φ = 296192000.

The previous prime is 766664729. The next prime is 766664747. The reversal of 766664740 is 47466667.

It can be written as a sum of positive squares in 8 ways, for example, as 79281216 + 687383524 = 8904^2 + 26218^2 .

It is not an unprimeable number, because it can be changed into a prime (766664747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78192 + ... + 87448.

It is an arithmetic number, because the mean of its divisors is an integer number (34703613).

Almost surely, 2766664740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766664740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832886712).

766664740 is an abundant number, since it is smaller than the sum of its proper divisors (899108684).

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

766664740 is a wasteful number, since it uses less digits than its factorization.

766664740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The square root of 766664740 is about 27688.7114181935. The cubic root of 766664740 is about 915.2403600782.

It can be divided in two parts, 76666 and 4740, that added together give a triangular number (81406 = T403).

The spelling of 766664740 in words is "seven hundred sixty-six million, six hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 9257 16564 18514 20705 37028 41410 46285 82820 92570 185140 379537 759074 934957 1518148 1869914 1897685 3739828 3795370 4674785 7590740 9349570 18699140 38333237 76666474 153332948 191666185 383332370 766664740