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76840680 = 23357175381
BaseRepresentation
bin1001001010001…
…11111011101000
312100120220121010
410211013323220
5124132400210
611342543520
71622064210
oct445077350
9170526533
1076840680
113a4135a4
1221897ba0
1312bc5377
14a2c3240
156b2c920
hex4947ee8

76840680 has 128 divisors (see below), whose sum is σ = 279002880. Its totient is φ = 16527360.

The previous prime is 76840679. The next prime is 76840703. The reversal of 76840680 is 8604867.

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, 11590 + ... + 16970.

It is an arithmetic number, because the mean of its divisors is an integer number (2179710).

Almost surely, 276840680 is an apocalyptic number.

76840680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139501440).

76840680 is an abundant number, since it is smaller than the sum of its proper divisors (202162200).

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

76840680 is a wasteful number, since it uses less digits than its factorization.

76840680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76840680 is about 8765.8815871537. The cubic root of 76840680 is about 425.1384646873.

The spelling of 76840680 in words is "seventy-six million, eight hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 5381 7140 10762 14280 16143 21524 26905 32286 37667 43048 53810 64572 75334 80715 91477 107620 113001 129144 150668 161430 182954 188335 215240 226002 274431 301336 322860 365908 376670 452004 457385 548862 565005 640339 645720 731816 753340 904008 914770 1097724 1130010 1280678 1372155 1506680 1829540 1921017 2195448 2260020 2561356 2744310 3201695 3659080 3842034 4520040 5122712 5488620 6403390 7684068 9605085 10977240 12806780 15368136 19210170 25613560 38420340 76840680