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80507680 = 25511149307
BaseRepresentation
bin1001100110001…
…11001100100000
312121111012202221
410303013030200
5131102221210
611553320424
71665206161
oct463071440
9177435687
1080507680
1141498680
1222b66114
13138aa4a6
14a999768
1571041da
hex4cc7320

80507680 has 96 divisors (see below), whose sum is σ = 209563200. Its totient is φ = 28984320.

The previous prime is 80507633. The next prime is 80507701. The reversal of 80507680 is 8670508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262087 + ... + 262393.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 280507680 is an apocalyptic number.

80507680 is a gapful number since it is divisible by the number (80) 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 80507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

80507680 is an abundant number, since it is smaller than the sum of its proper divisors (129055520).

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

80507680 is a wasteful number, since it uses less digits than its factorization.

80507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 80507680 is about 8972.6072019230. The cubic root of 80507680 is about 431.7964862163.

The spelling of 80507680 in words is "eighty million, five hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 149 160 176 220 298 307 352 440 596 614 745 880 1192 1228 1490 1535 1639 1760 2384 2456 2980 3070 3278 3377 4768 4912 5960 6140 6556 6754 8195 9824 11920 12280 13112 13508 16390 16885 23840 24560 26224 27016 32780 33770 45743 49120 52448 54032 65560 67540 91486 108064 131120 135080 182972 228715 262240 270160 365944 457430 503173 540320 731888 914860 1006346 1463776 1829720 2012692 2515865 3659440 4025384 5031730 7318880 8050768 10063460 16101536 20126920 40253840 80507680