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80778060 = 22355111511
BaseRepresentation
bin1001101000010…
…01001101001100
312121222221200000
410310021031030
5131134344220
612003204300
72000413356
oct464111514
9177887600
1080778060
1141662830
1223076690
131397358c
14aa2a0d6
157159390
hex4d0934c

80778060 has 144 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 19569600.

The previous prime is 80778041. The next prime is 80778097. The reversal of 80778060 is 6087708.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 52705 + ... + 54215.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 280778060 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 80778060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

80778060 is an abundant number, since it is smaller than the sum of its proper divisors (196607412).

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

80778060 is a wasteful number, since it uses less digits than its factorization.

80778060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 80778060 is about 8987.6615423591. The cubic root of 80778060 is about 432.2793332318.

The spelling of 80778060 in words is "eighty million, seven hundred seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1511 1620 1782 1980 2430 2673 2970 3022 3564 4455 4533 4860 5346 5940 6044 7555 8910 9066 10692 13365 13599 15110 16621 17820 18132 22665 26730 27198 30220 33242 40797 45330 49863 53460 54396 66484 67995 81594 83105 90660 99726 122391 135990 149589 163188 166210 199452 203985 244782 249315 271980 299178 332420 367173 407970 448767 489564 498630 598356 611955 734346 747945 815940 897534 997260 1223910 1346301 1468692 1495890 1795068 1835865 2243835 2447820 2692602 2991780 3671730 4038903 4487670 5385204 6731505 7343460 8077806 8975340 13463010 16155612 20194515 26926020 40389030 80778060