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808804080 = 243257383419
BaseRepresentation
bin110000001101010…
…101111011110000
32002100220111121200
4300031111323300
53124023212310
6212131251200
726020502250
oct6015257360
92070814550
10808804080
11385604527
121a6a49b00
13cb7462c6
14795bb960
154b0159c0
hex30355ef0

808804080 has 240 divisors, whose sum is σ = 3119800320. Its totient is φ = 183946752.

The previous prime is 808804079. The next prime is 808804099. The reversal of 808804080 is 80408808.

808804080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930111 + ... + 1930529.

It is an arithmetic number, because the mean of its divisors is an integer number (12999168).

Almost surely, 2808804080 is an apocalyptic number.

808804080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

808804080 is an abundant number, since it is smaller than the sum of its proper divisors (2310996240).

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

808804080 is a wasteful number, since it uses less digits than its factorization.

808804080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 808804080 is about 28439.4810079228. The cubic root of 808804080 is about 931.7107602030.

The spelling of 808804080 in words is "eight hundred eight million, eight hundred four thousand, eighty".