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878800068 = 2232411513943
BaseRepresentation
bin110100011000010…
…110110011000100
32021020121200001200
4310120112303010
53244433100233
6223111422500
730530451216
oct6430266304
92236550050
10878800068
11411072553
12206384a30
131100b3053
14849dc5b6
1552240313
hex34616cc4

878800068 has 72 divisors (see below), whose sum is σ = 2291243136. Its totient is φ = 283824000.

The previous prime is 878800067. The next prime is 878800189. The reversal of 878800068 is 860008878.

It is a junction number, because it is equal to n+sod(n) for n = 878799996 and 878800032.

It is not an unprimeable number, because it can be changed into a prime (878800067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220905 + ... + 224847.

Almost surely, 2878800068 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 878800068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145621568).

878800068 is an abundant number, since it is smaller than the sum of its proper divisors (1412443068).

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

878800068 is a wasteful number, since it uses less digits than its factorization.

878800068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 878800068 is about 29644.5621994996. The cubic root of 878800068 is about 957.8482143520.

The spelling of 878800068 in words is "eight hundred seventy-eight million, eight hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 151 164 246 302 369 453 492 604 738 906 1359 1476 1812 2718 3943 5436 6191 7886 11829 12382 15772 18573 23658 24764 35487 37146 47316 55719 70974 74292 111438 141948 161663 222876 323326 484989 595393 646652 969978 1190786 1454967 1786179 1939956 2381572 2909934 3572358 5358537 5819868 7144716 10717074 21434148 24411113 48822226 73233339 97644452 146466678 219700017 292933356 439400034 878800068