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78080 = 28561
BaseRepresentation
bin10011000100000000
310222002212
4103010000
54444310
61401252
7443432
oct230400
9128085
1078080
1153732
1239228
1329702
1420652
1518205
hex13100

78080 has 36 divisors (see below), whose sum is σ = 190092. Its totient is φ = 30720.

The previous prime is 78079. The next prime is 78101. The reversal of 78080 is 8087.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 65536 = 112^2 + 256^2 .

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1250 + ... + 1310.

278080 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 78080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95046).

78080 is an abundant number, since it is smaller than the sum of its proper divisors (112012).

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

78080 is an equidigital number, since it uses as much as digits as its factorization.

78080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 78080 is about 279.4279871452. The cubic root of 78080 is about 42.7411892060.

The spelling of 78080 in words is "seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 39040 78080