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78265680 = 2435833929
BaseRepresentation
bin1001010101000…
…11110101010000
312110021022022220
410222203311100
5130014000210
611433301040
71640150553
oct452436520
9173238286
1078265680
11401a7189
1222264780
13132a3b6c
14a57469a
156d0ec70
hex4aa3d50

78265680 has 80 divisors (see below), whose sum is σ = 245609280. Its totient is φ = 20614144.

The previous prime is 78265673. The next prime is 78265699. The reversal of 78265680 is 8656287.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×782656802 = 12251033331724800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17956 + ... + 21884.

It is an arithmetic number, because the mean of its divisors is an integer number (3070116).

Almost surely, 278265680 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 78265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122804640).

78265680 is an abundant number, since it is smaller than the sum of its proper divisors (167343600).

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

78265680 is a wasteful number, since it uses less digits than its factorization.

78265680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 78265680 is about 8846.7892480832. The cubic root of 78265680 is about 427.7504295154.

The spelling of 78265680 in words is "seventy-eight million, two hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3929 3984 4980 6640 7858 9960 11787 15716 19645 19920 23574 31432 39290 47148 58935 62864 78580 94296 117870 157160 188592 235740 314320 326107 471480 652214 942960 978321 1304428 1630535 1956642 2608856 3261070 3913284 4891605 5217712 6522140 7826568 9783210 13044280 15653136 19566420 26088560 39132840 78265680