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7999790760 = 23325132131489
BaseRepresentation
bin1110111001101001…
…10001111010101000
3202122112000110212200
413130310301322220
5112340421301020
63401451140200
7402146046063
oct73464617250
922575013780
107999790760
113435745225
121673144660
139a649bb00
1455c6518da
1531c4a8590
hex1dcd31ea8

7999790760 has 144 divisors (see below), whose sum is σ = 28153323900. Its totient is φ = 1969164288.

The previous prime is 7999790753. The next prime is 7999790767. The reversal of 7999790760 is 670979997.

It is an interprime number because it is at equal distance from previous prime (7999790753) and next prime (7999790767).

It can be written as a sum of positive squares in 6 ways, for example, as 53494596 + 7946296164 = 7314^2 + 89142^2 .

It is not an unprimeable number, because it can be changed into a prime (7999790767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4905 + ... + 126584.

Almost surely, 27999790760 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 7999790760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076661950).

7999790760 is an abundant number, since it is smaller than the sum of its proper divisors (20153533140).

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

7999790760 is a wasteful number, since it uses less digits than its factorization.

7999790760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131532 (or 131512 counting only the distinct ones).

The product of its (nonzero) digits is 13502538, while the sum is 63.

The square root of 7999790760 is about 89441.5494051842. The cubic root of 7999790760 is about 1999.9825631813.

The spelling of 7999790760 in words is "seven billion, nine hundred ninety-nine million, seven hundred ninety thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 4056 4680 5070 6084 6760 7605 10140 12168 15210 20280 30420 60840 131489 262978 394467 525956 657445 788934 1051912 1183401 1314890 1577868 1709357 1972335 2366802 2629780 3155736 3418714 3944670 4733604 5128071 5259560 5917005 6837428 7889340 8546785 9467208 10256142 11834010 13674856 15384213 15778680 17093570 20512284 22221641 23668020 25640355 30768426 34187140 41024568 44443282 47336040 51280710 61536852 66664923 68374280 76921065 88886564 102561420 111108205 123073704 133329846 153842130 177773128 199994769 205122840 222216410 266659692 307684260 333324615 399989538 444432820 533319384 615368520 666649230 799979076 888865640 999973845 1333298460 1599958152 1999947690 2666596920 3999895380 7999790760