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808880000 = 275410111
BaseRepresentation
bin110000001101101…
…000011110000000
32002101001100202112
4300031220132000
53124033130000
6212133034452
726021236505
oct6015503600
92071040675
10808880000
11385656575
121a6a85a28
13cb771a26
14795db4ac
154b02d235
hex30368780

808880000 has 80 divisors (see below), whose sum is σ = 2013855360. Its totient is φ = 323520000.

The previous prime is 808879999. The next prime is 808880003. The reversal of 808880000 is 88808.

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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808880003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74945 + ... + 85055.

It is an arithmetic number, because the mean of its divisors is an integer number (25173192).

Almost surely, 2808880000 is an apocalyptic number.

808880000 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 808880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006927680).

808880000 is an abundant number, since it is smaller than the sum of its proper divisors (1204975360).

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

808880000 is an equidigital number, since it uses as much as digits as its factorization.

808880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 808880000 is about 28440.8157407624. The cubic root of 808880000 is about 931.7399115841.

It can be divided in two parts, 8088 and 80000, that added together give a palindrome (88088).

The spelling of 808880000 in words is "eight hundred eight million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 10111 16000 20000 20222 40000 40444 50555 80000 80888 101110 161776 202220 252775 323552 404440 505550 647104 808880 1011100 1263875 1294208 1617760 2022200 2527750 3235520 4044400 5055500 6319375 6471040 8088800 10111000 12638750 16177600 20222000 25277500 32355200 40444000 50555000 80888000 101110000 161776000 202220000 404440000 808880000