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80676864 = 211331459
BaseRepresentation
bin1001100111100…
…00100000000000
312121210210212000
410303300200000
5131123124424
612001104000
71666512342
oct463604000
9177723760
1080676864
11415a37a4
1223028000
13139394b8
14aa01292
1571393c9
hex4cf0800

80676864 has 96 divisors (see below), whose sum is σ = 239148000. Its totient is φ = 26873856.

The previous prime is 80676859. The next prime is 80676887. The reversal of 80676864 is 46867608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54567 + ... + 56025.

It is an arithmetic number, because the mean of its divisors is an integer number (2491125).

Almost surely, 280676864 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 80676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119574000).

80676864 is an abundant number, since it is smaller than the sum of its proper divisors (158471136).

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

80676864 is a wasteful number, since it uses less digits than its factorization.

80676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 80676864 is about 8982.0300600699. The cubic root of 80676864 is about 432.0987428606.

The spelling of 80676864 in words is "eighty million, six hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1459 1536 1728 2048 2304 2918 3072 3456 4377 4608 5836 6144 6912 8754 9216 11672 13131 13824 17508 18432 23344 26262 27648 35016 39393 46688 52524 55296 70032 78786 93376 105048 140064 157572 186752 210096 280128 315144 373504 420192 560256 630288 747008 840384 1120512 1260576 1494016 1680768 2241024 2521152 2988032 3361536 4482048 5042304 6723072 8964096 10084608 13446144 20169216 26892288 40338432 80676864