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78807040 = 21551337
BaseRepresentation
bin1001011001010…
…00000000000000
312111021210221021
410230220000000
5130133311130
611453035224
71644564064
oct454500000
9174253837
1078807040
1140536994
1222485b14
13134333b0
14a675aa4
156dba37a
hex4b28000

78807040 has 128 divisors (see below), whose sum is σ = 209187720. Its totient is φ = 28311552.

The previous prime is 78807037. The next prime is 78807049. The reversal of 78807040 is 4070887.

It can be written as a sum of positive squares in 4 ways, for example, as 65028096 + 13778944 = 8064^2 + 3712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 78806987 and 78807005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78807049) 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, 2129902 + ... + 2129938.

Almost surely, 278807040 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 78807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104593860).

78807040 is an abundant number, since it is smaller than the sum of its proper divisors (130380680).

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

78807040 is an equidigital number, since it uses as much as digits as its factorization.

78807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 78807040 is about 8877.3329328126. The cubic root of 78807040 is about 428.7344074319.

The spelling of 78807040 in words is "seventy-eight million, eight hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 128 130 148 160 185 208 256 260 296 320 370 416 481 512 520 592 640 740 832 962 1024 1040 1184 1280 1480 1664 1924 2048 2080 2368 2405 2560 2960 3328 3848 4096 4160 4736 4810 5120 5920 6656 7696 8192 8320 9472 9620 10240 11840 13312 15392 16384 16640 18944 19240 20480 23680 26624 30784 32768 33280 37888 38480 40960 47360 53248 61568 66560 75776 76960 81920 94720 106496 123136 133120 151552 153920 163840 189440 212992 246272 266240 303104 307840 378880 425984 492544 532480 606208 615680 757760 985088 1064960 1212416 1231360 1515520 1970176 2129920 2462720 3031040 3940352 4925440 6062080 7880704 9850880 15761408 19701760 39403520 78807040