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78376640 = 265232463
BaseRepresentation
bin1001010101111…
…10111011000000
312110110221112112
410222332323000
5130031023030
611435514452
71641122216
oct452767300
9173427475
1078376640
1140272591
12222b8a28
1313312514
14a5a2cb6
156d32a95
hex4abeec0

78376640 has 84 divisors (see below), whose sum is σ = 195523104. Its totient is φ = 29922816.

The previous prime is 78376637. The next prime is 78376673. The reversal of 78376640 is 4667387.

It is a super-2 number, since 2×783766402 = 12285795395379200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169049 + ... + 169511.

It is an arithmetic number, because the mean of its divisors is an integer number (2327656).

Almost surely, 278376640 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 78376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97761552).

78376640 is an abundant number, since it is smaller than the sum of its proper divisors (117146464).

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

78376640 is a wasteful number, since it uses less digits than its factorization.

78376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 78376640 is about 8853.0582286575. The cubic root of 78376640 is about 427.9524796572.

The spelling of 78376640 in words is "seventy-eight million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 463 529 736 920 926 1058 1472 1840 1852 2116 2315 2645 3680 3704 4232 4630 5290 7360 7408 8464 9260 10580 10649 14816 16928 18520 21160 21298 29632 33856 37040 42320 42596 53245 74080 84640 85192 106490 148160 169280 170384 212980 244927 340768 425960 489854 681536 851920 979708 1224635 1703840 1959416 2449270 3407680 3918832 4898540 7837664 9797080 15675328 19594160 39188320 78376640