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78668700 = 223521131769
BaseRepresentation
bin1001011000001…
…10001110011100
312111000210011120
410230012032130
5130114344300
611450050540
71643446545
oct454061634
9174023146
1078668700
1140451a60
1222419a50
13133b5436
14a63b4cc
156d8e3a0
hex4b0639c

78668700 has 144 divisors (see below), whose sum is σ = 256650240. Its totient is φ = 18432000.

The previous prime is 78668693. The next prime is 78668719. The reversal of 78668700 is 786687.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101916 + ... + 102684.

Almost surely, 278668700 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 78668700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325120).

78668700 is an abundant number, since it is smaller than the sum of its proper divisors (177981540).

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

78668700 is a wasteful number, since it uses less digits than its factorization.

78668700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 78668700 is about 8869.5377557120. The cubic root of 78668700 is about 428.4833898525.

Multiplying 78668700 by its reverse (786687), we get a square (61887643596900 = 78668702).

78668700 divided by its reverse (786687) gives a square (100 = 102).

The spelling of 78668700 in words is "seventy-eight million, six hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 769 775 825 930 1023 1100 1364 1538 1550 1650 1705 1860 2046 2307 2325 3076 3100 3300 3410 3845 4092 4614 4650 5115 6820 7690 8459 8525 9228 9300 10230 11535 15380 16918 17050 19225 20460 23070 23839 25377 25575 33836 34100 38450 42295 46140 47678 50754 51150 57675 71517 76900 84590 95356 101508 102300 115350 119195 126885 143034 169180 211475 230700 238390 253770 262229 286068 357585 422950 476780 507540 524458 595975 634425 715170 786687 845900 1048916 1191950 1268850 1311145 1430340 1573374 1787925 2383900 2537700 2622290 3146748 3575850 3933435 5244580 6555725 7151700 7866870 13111450 15733740 19667175 26222900 39334350 78668700