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8076328668 = 2233297136319
BaseRepresentation
bin1111000010110001…
…01111111011011100
3202211212001000011000
413201120233323130
5113020020004133
63413223430300
7404065442502
oct74130577334
922755030130
108076328668
1134749712a1
1216948b5390
139b92b9405
14568896672
15324076413
hex1e162fedc

8076328668 has 96 divisors (see below), whose sum is σ = 21966336000. Its totient is φ = 2562598080.

The previous prime is 8076328657. The next prime is 8076328717. The reversal of 8076328668 is 8668236708.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204213 + ... + 240531.

It is an arithmetic number, because the mean of its divisors is an integer number (228816000).

Almost surely, 28076328668 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 8076328668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983168000).

8076328668 is an abundant number, since it is smaller than the sum of its proper divisors (13890007332).

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

8076328668 is a wasteful number, since it uses less digits than its factorization.

8076328668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36432 (or 36424 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8076328668 is about 89868.3963804852. The cubic root of 8076328668 is about 2006.3405994897.

The spelling of 8076328668 in words is "eight billion, seventy-six million, three hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 71 87 108 116 142 174 213 261 284 348 426 522 639 783 852 1044 1278 1566 1917 2059 2556 3132 3834 4118 6177 7668 8236 12354 18531 24708 36319 37062 55593 72638 74124 108957 111186 145276 217914 222372 326871 435828 653742 980613 1053251 1307484 1961226 2106502 2578649 3159753 3922452 4213004 5157298 6319506 7735947 9479259 10314596 12639012 15471894 18958518 23207841 28437777 30943788 37917036 46415682 56875554 69623523 74780821 92831364 113751108 139247046 149561642 224342463 278494092 299123284 448684926 673027389 897369852 1346054778 2019082167 2692109556 4038164334 8076328668