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808000880800 = 25521010001101
BaseRepresentation
bin10111100001000001001…
…10110000000010100000
32212020120222012121010011
423300200212300002200
5101214241211141200
61415105051014304
7112243005111061
oct13604046600240
92766528177104
10808000880800
11291742483983
12110719a3a394
135b26a73a679
142b170bbc568
15160409135ba
hexbc209b00a0

808000880800 has 36 divisors (see below), whose sum is σ = 1972532152206. Its totient is φ = 323200352000.

The previous prime is 808000880767. The next prime is 808000880801. The reversal of 808000880800 is 8088000808.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 694402222864 + 113598657936 = 833308^2 + 337044^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (808000880801) 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 5 ways as a sum of consecutive naturals, for example, 504999751 + ... + 505001350.

Almost surely, 2808000880800 is an apocalyptic number.

808000880800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808000880800 is an abundant number, since it is smaller than the sum of its proper divisors (1164531271406).

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

808000880800 is a wasteful number, since it uses less digits than its factorization.

808000880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010001121 (or 1010001108 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The spelling of 808000880800 in words is "eight hundred eight billion, eight hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1010001101 2020002202 4040004404 5050005505 8080008808 10100011010 16160017616 20200022020 25250027525 32320035232 40400044040 50500055050 80800088080 101000110100 161600176160 202000220200 404000440400 808000880800