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78663680 = 212523167
BaseRepresentation
bin1001011000001…
…01000000000000
312111000112021122
410230011000000
5130114214210
611450011412
71643426114
oct454050000
9174015248
1078663680
1140449207
1222416b68
13133b3074
14a639744
156d8cb55
hex4b05000

78663680 has 104 divisors (see below), whose sum is σ = 198156672. Its totient is φ = 29917184.

The previous prime is 78663679. The next prime is 78663691. The reversal of 78663680 is 8636687.

It is a super-2 number, since 2×786636802 = 12375949102284800, which contains 22 as substring.

It is a congruent number.

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, 470957 + ... + 471123.

Almost surely, 278663680 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 78663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99078336).

78663680 is an abundant number, since it is smaller than the sum of its proper divisors (119492992).

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

78663680 is a wasteful number, since it uses less digits than its factorization.

78663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 78663680 is about 8869.2547601250. The cubic root of 78663680 is about 428.4742755441.

The spelling of 78663680 in words is "seventy-eight million, six hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 167 184 230 256 320 334 368 460 512 640 668 736 835 920 1024 1280 1336 1472 1670 1840 2048 2560 2672 2944 3340 3680 3841 4096 5120 5344 5888 6680 7360 7682 10240 10688 11776 13360 14720 15364 19205 20480 21376 23552 26720 29440 30728 38410 42752 47104 53440 58880 61456 76820 85504 94208 106880 117760 122912 153640 171008 213760 235520 245824 307280 342016 427520 471040 491648 614560 684032 855040 983296 1229120 1710080 1966592 2458240 3420160 3933184 4916480 7866368 9832960 15732736 19665920 39331840 78663680