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76888320 = 283520023
BaseRepresentation
bin1001001010100…
…11100100000000
312100200022221120
410211103210000
5124140411240
611343552240
71622353125
oct445234400
9170608846
1076888320
113a446373
12218bb680
1312c10c62
14a2d674c
156b3bad0
hex4953900

76888320 has 72 divisors (see below), whose sum is σ = 245574336. Its totient is φ = 20502528.

The previous prime is 76888291. The next prime is 76888327. The reversal of 76888320 is 2388867.

It is not an unprimeable number, because it can be changed into a prime (76888327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6172 + ... + 13851.

Almost surely, 276888320 is an apocalyptic number.

It is an amenable number.

76888320 is an abundant number, since it is smaller than the sum of its proper divisors (168686016).

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

76888320 is a wasteful number, since it uses less digits than its factorization.

76888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20047 (or 20033 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 76888320 is about 8768.5985197180. The cubic root of 76888320 is about 425.2263062328.

The spelling of 76888320 in words is "seventy-six million, eight hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 20023 40046 60069 80092 100115 120138 160184 200230 240276 300345 320368 400460 480552 600690 640736 800920 961104 1201380 1281472 1601840 1922208 2402760 2562944 3203680 3844416 4805520 5125888 6407360 7688832 9611040 12814720 15377664 19222080 25629440 38444160 76888320