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768768 = 28371113
BaseRepresentation
bin10111011101100000000
31110001112220
42323230000
5144100033
624251040
76351210
oct2735400
91401486
10768768
11485650
12310a80
1320bbc0
14160240
15102bb3
hexbbb00

768768 has 144 divisors (see below), whose sum is σ = 2747136. Its totient is φ = 184320.

The previous prime is 768767. The next prime is 768773. The reversal of 768768 is 867867.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (112896) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768768.

It is not an unprimeable number, because it can be changed into a prime (768767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59130 + ... + 59142.

2768768 is an apocalyptic number.

768768 is a gapful number since it is divisible by the number (78) 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 768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373568).

768768 is an abundant number, since it is smaller than the sum of its proper divisors (1978368).

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

768768 is a wasteful number, since it uses less digits than its factorization.

768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

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

The square root of 768768 is about 876.7941605645. The cubic root of 768768 is about 91.6076549478.

Subtracting 768768 from its reverse (867867), we obtain a palindrome (99099).

Multiplying 768768 by its reverse (867867), we get a square (667188377856 = 8168162).

The spelling of 768768 in words is "seven hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 128 132 143 154 156 168 176 182 192 208 224 231 256 264 273 286 308 312 336 352 364 384 416 429 448 462 528 546 572 616 624 672 704 728 768 832 858 896 924 1001 1056 1092 1144 1232 1248 1344 1408 1456 1664 1716 1792 1848 2002 2112 2184 2288 2464 2496 2688 2816 2912 3003 3328 3432 3696 4004 4224 4368 4576 4928 4992 5376 5824 6006 6864 7392 8008 8448 8736 9152 9856 9984 11648 12012 13728 14784 16016 17472 18304 19712 23296 24024 27456 29568 32032 34944 36608 48048 54912 59136 64064 69888 96096 109824 128128 192192 256256 384384 768768