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797910480 = 243352316061
BaseRepresentation
bin101111100011110…
…010010111010000
32001121102001102000
4233203302113100
53113231113410
6211101554000
725526061423
oct5743622720
92047361360
10797910480
1137a443a54
121a3275900
13c9400aa3
1477d839ba
154a0b2dc0
hex2f8f25d0

797910480 has 160 divisors (see below), whose sum is σ = 2868030720. Its totient is φ = 203512320.

The previous prime is 797910461. The next prime is 797910517. The reversal of 797910480 is 84019797.

It is a super-2 number, since 2×7979104802 = 1273322268187660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41650 + ... + 57710.

It is an arithmetic number, because the mean of its divisors is an integer number (17925192).

Almost surely, 2797910480 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 797910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434015360).

797910480 is an abundant number, since it is smaller than the sum of its proper divisors (2070120240).

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

797910480 is a wasteful number, since it uses less digits than its factorization.

797910480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16106 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 797910480 is about 28247.3092523872. The cubic root of 797910480 is about 927.5088376410.

The spelling of 797910480 in words is "seven hundred ninety-seven million, nine hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16061 16560 24840 32122 48183 49680 64244 80305 96366 128488 144549 160610 192732 240915 256976 289098 321220 369403 385464 433647 481830 578196 642440 722745 738806 770928 867294 963660 1108209 1156392 1284880 1445490 1477612 1734588 1847015 1927320 2168235 2216418 2312784 2890980 2955224 3324627 3469176 3694030 3854640 4336470 4432836 5541045 5781960 5910448 6649254 6938352 7388060 8672940 8865672 9973881 11082090 11563920 13298508 14776120 16623135 17345880 17731344 19947762 22164180 26597016 29552240 33246270 34691760 39895524 44328360 49869405 53194032 66492540 79791048 88656720 99738810 132985080 159582096 199477620 265970160 398955240 797910480