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80720000 = 27541009
BaseRepresentation
bin1001100111110…
…11000010000000
312121220000000122
410303323002000
5131131020000
612002035412
72000052164
oct463730200
9177800018
1080720000
1141623149
1223048b68
131395301a
14aa12ca4
157147085
hex4cfb080

80720000 has 80 divisors (see below), whose sum is σ = 201146550. Its totient is φ = 32256000.

The previous prime is 80719997. The next prime is 80720011. The reversal of 80720000 is 2708.

It can be written as a sum of positive squares in 5 ways, for example, as 7744 + 80712256 = 88^2 + 8984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 79496 + ... + 80504.

Almost surely, 280720000 is an apocalyptic number.

80720000 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 80720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100573275).

80720000 is an abundant number, since it is smaller than the sum of its proper divisors (120426550).

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

80720000 is an equidigital number, since it uses as much as digits as its factorization.

80720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 80720000 is about 8984.4309780865. The cubic root of 80720000 is about 432.1757401123.

Adding to 80720000 its reverse (2708), we get a palindrome (80722708).

The spelling of 80720000 in words is "eighty million, seven hundred twenty 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 1009 1250 1600 2000 2018 2500 3200 4000 4036 5000 5045 8000 8072 10000 10090 16000 16144 20000 20180 25225 32288 40000 40360 50450 64576 80000 80720 100900 126125 129152 161440 201800 252250 322880 403600 504500 630625 645760 807200 1009000 1261250 1614400 2018000 2522500 3228800 4036000 5045000 8072000 10090000 16144000 20180000 40360000 80720000