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804800880 = 243351328661
BaseRepresentation
bin101111111110000…
…100100101110000
32002002101010021000
4233332010211300
53122012112010
6211505402000
725641460152
oct5776044560
92062333230
10804800880
1138331a8a4
121a5639300
13ca974150
1478c58ad2
154a9c47c0
hex2ff84970

804800880 has 160 divisors (see below), whose sum is σ = 2985433920. Its totient is φ = 198097920.

The previous prime is 804800863. The next prime is 804800911. The reversal of 804800880 is 88008408.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13750 + ... + 42410.

It is an arithmetic number, because the mean of its divisors is an integer number (18658962).

Almost surely, 2804800880 is an apocalyptic number.

804800880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492716960).

804800880 is an abundant number, since it is smaller than the sum of its proper divisors (2180633040).

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

804800880 is a wasteful number, since it uses less digits than its factorization.

804800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28696 (or 28684 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 804800880 is about 28369.0126722803. The cubic root of 804800880 is about 930.1710403415.

The spelling of 804800880 in words is "eight hundred four million, eight hundred thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 28661 57322 85983 114644 143305 171966 229288 257949 286610 343932 372593 429915 458576 515898 573220 687864 745186 773847 859830 1031796 1117779 1146440 1289745 1375728 1490372 1547694 1719660 1862965 2063592 2235558 2292880 2579490 2980744 3095388 3353337 3439320 3725930 3869235 4127184 4471116 5158980 5588895 5961488 6190776 6706674 6878640 7451860 7738470 8942232 10060011 10317960 11177790 12381552 13413348 14903720 15476940 16766685 17884464 20120022 20635920 22355580 26826696 29807440 30953880 33533370 40240044 44711160 50300055 53653392 61907760 67066740 80480088 89422320 100600110 134133480 160960176 201200220 268266960 402400440 804800880