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78669840 = 24351811811
BaseRepresentation
bin1001011000001…
…10100000010000
312111000211201210
410230012200100
5130114413330
611450100120
71643453064
oct454064020
9174024653
1078669840
11404528a7
122241a640
13133b5b02
14a63baa4
156d8e8b0
hex4b06810

78669840 has 80 divisors (see below), whose sum is σ = 245359296. Its totient is φ = 20851200.

The previous prime is 78669839. The next prime is 78669853. The reversal of 78669840 is 4896687.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78669840.

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, 42535 + ... + 44345.

Almost surely, 278669840 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 78669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122679648).

78669840 is an abundant number, since it is smaller than the sum of its proper divisors (166689456).

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

78669840 is a wasteful number, since it uses less digits than its factorization.

78669840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 78669840 is about 8869.6020203840. The cubic root of 78669840 is about 428.4854595817.

78669840 divided by its sum of digits (48) gives a triangular number (1638955 = T1810).

The spelling of 78669840 in words is "seventy-eight million, six hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 1811 2172 2715 2896 3620 3622 4344 5430 5433 7240 7244 8688 9055 10860 10866 14480 14488 18110 21720 21732 27165 28976 36220 43440 43464 54330 72440 86928 108660 144880 217320 327791 434640 655582 983373 1311164 1638955 1966746 2622328 3277910 3933492 4916865 5244656 6555820 7866984 9833730 13111640 15733968 19667460 26223280 39334920 78669840