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80407680 = 273541879
BaseRepresentation
bin1001100101011…
…10110010000000
312121022010121020
410302232302000
5131041021210
611551225440
71664311503
oct462566200
9177263536
1080407680
114142a531
1222b18280
1313873b12
14a97113a
1570d4770
hex4caec80

80407680 has 64 divisors (see below), whose sum is σ = 256305600. Its totient is φ = 21441536.

The previous prime is 80407643. The next prime is 80407693. The reversal of 80407680 is 8670408.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 19020 + ... + 22859.

It is an arithmetic number, because the mean of its divisors is an integer number (4004775).

Almost surely, 280407680 is an apocalyptic number.

80407680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80407680 is an abundant number, since it is smaller than the sum of its proper divisors (175897920).

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

80407680 is a wasteful number, since it uses less digits than its factorization.

80407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41901 (or 41889 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 80407680 is about 8967.0329541047. The cubic root of 80407680 is about 431.6176314824.

The spelling of 80407680 in words is "eighty million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 41879 83758 125637 167516 209395 251274 335032 418790 502548 628185 670064 837580 1005096 1256370 1340128 1675160 2010192 2512740 2680256 3350320 4020384 5025480 5360512 6700640 8040768 10050960 13401280 16081536 20101920 26802560 40203840 80407680