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78427980 = 22335311467
BaseRepresentation
bin1001010110010…
…11011101001100
312110120112222000
410223023131030
5130034143410
611440552300
71641425001
oct453133514
9173515860
1078427980
11402a8114
1222322690
131332c9b7
14a5b78a8
156d42dc0
hex4acb74c

78427980 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 20802240.

The previous prime is 78427931. The next prime is 78428017. The reversal of 78427980 is 8972487.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167707 + ... + 168173.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 278427980 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 78427980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

78427980 is an abundant number, since it is smaller than the sum of its proper divisors (166878900).

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

78427980 is a wasteful number, since it uses less digits than its factorization.

78427980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 78427980 is about 8855.9573169703. The cubic root of 78427980 is about 428.0459015609.

The spelling of 78427980 in words is "seventy-eight million, four hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 311 467 540 622 933 934 1244 1401 1555 1866 1868 2335 2799 2802 3110 3732 4203 4665 4670 5598 5604 6220 7005 8397 8406 9330 9340 11196 12609 13995 14010 16794 16812 18660 21015 25218 27990 28020 33588 41985 42030 50436 55980 63045 83970 84060 126090 145237 167940 252180 290474 435711 580948 726185 871422 1307133 1452370 1742844 2178555 2614266 2904740 3921399 4357110 5228532 6535665 7842798 8714220 13071330 15685596 19606995 26142660 39213990 78427980