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78316480 = 26511191171
BaseRepresentation
bin1001010101100…
…00001111000000
312110100220000101
410222300033000
5130022111410
611434332144
71640451634
oct452601700
9173326011
1078316480
1140231370
122228a054
13132c1018
14a588dc4
156d1ed3a
hex4ab03c0

78316480 has 112 divisors (see below), whose sum is σ = 214335360. Its totient is φ = 26956800.

The previous prime is 78316451. The next prime is 78316481. The reversal of 78316480 is 8461387.

It is a happy number.

It is a super-2 number, since 2×783164802 = 12266942079180800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78316481) 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, 66295 + ... + 67465.

Almost surely, 278316480 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 78316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107167680).

78316480 is an abundant number, since it is smaller than the sum of its proper divisors (136018880).

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

78316480 is a wasteful number, since it uses less digits than its factorization.

78316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 78316480 is about 8849.6598804700. The cubic root of 78316480 is about 427.8429563298.

The spelling of 78316480 in words is "seventy-eight million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1171 1216 1520 1672 1760 2090 2342 3040 3344 3520 4180 4684 5855 6080 6688 8360 9368 11710 12881 13376 16720 18736 22249 23420 25762 33440 37472 44498 46840 51524 64405 66880 74944 88996 93680 103048 111245 128810 177992 187360 206096 222490 244739 257620 355984 374720 412192 444980 489478 515240 711968 824384 889960 978956 1030480 1223695 1423936 1779920 1957912 2060960 2447390 3559840 3915824 4121920 4894780 7119680 7831648 9789560 15663296 19579120 39158240 78316480