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678877680 = 243513317019
BaseRepresentation
bin101000011101101…
…101100111110000
31202022102120002210
4220131231213300
52342243041210
6151210412120
722552236135
oct5035554760
91668376083
10678877680
11319232938
1216b431040
13aa855190
146623a58c
153e8ede20
hex2876d9f0

678877680 has 160 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 161694720.

The previous prime is 678877669. The next prime is 678877681. The reversal of 678877680 is 86778876.

It is a self number, because there is not a number n which added to its sum of digits gives 678877680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678877681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93211 + ... + 100229.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2678877680 is an apocalyptic number.

678877680 is a gapful number since it is divisible by the number (60) 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 678877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

678877680 is an abundant number, since it is smaller than the sum of its proper divisors (1660972560).

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

678877680 is a wasteful number, since it uses less digits than its factorization.

678877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The square root of 678877680 is about 26055.2812304914. The cubic root of 678877680 is about 878.8818788237.

The spelling of 678877680 in words is "six hundred seventy-eight million, eight hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7019 7440 8060 9672 12090 14038 16120 19344 21057 24180 28076 32240 35095 42114 48360 56152 70190 84228 91247 96720 105285 112304 140380 168456 182494 210570 217589 273741 280760 336912 364988 421140 435178 456235 547482 561520 652767 729976 842280 870356 912470 1087945 1094964 1305534 1368705 1459952 1684560 1740712 1824940 2175890 2189928 2611068 2737410 2828657 3263835 3481424 3649880 4351780 4379856 5222136 5474820 5657314 6527670 7299760 8485971 8703560 10444272 10949640 11314628 13055340 14143285 16971942 17407120 21899280 22629256 26110680 28286570 33943884 42429855 45258512 52221360 56573140 67887768 84859710 113146280 135775536 169719420 226292560 339438840 678877680