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806764980 = 223578323143
BaseRepresentation
bin110000000101100…
…100000110110100
32002020001220111110
4300011210012310
53123012434410
6212015435020
725664250330
oct6005440664
92066056443
10806764980
1138444151a
121a6225a70
13cb1b1138
147920a7c0
154ac61720
hex301641b4

806764980 has 96 divisors (see below), whose sum is σ = 2612865024. Its totient is φ = 182173824.

The previous prime is 806764979. The next prime is 806765021. The reversal of 806764980 is 89467608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23289 + ... + 46431.

It is an arithmetic number, because the mean of its divisors is an integer number (27217344).

Almost surely, 2806764980 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 806764980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306432512).

806764980 is an abundant number, since it is smaller than the sum of its proper divisors (1806100044).

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

806764980 is a wasteful number, since it uses less digits than its factorization.

806764980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23245 (or 23243 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 806764980 is about 28403.6085735598. The cubic root of 806764980 is about 930.9271133806.

The spelling of 806764980 in words is "eight hundred six million, seven hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 23143 34860 46286 69429 92572 115715 138858 162001 231430 277716 324002 347145 462860 486003 648004 694290 810005 972006 1388580 1620010 1920869 1944012 2430015 3240020 3841738 4860030 5762607 7683476 9604345 9720060 11525214 13446083 19208690 23050428 26892166 28813035 38417380 40338249 53784332 57626070 67230415 80676498 115252140 134460830 161352996 201691245 268921660 403382490 806764980