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812808720 = 243251128901
BaseRepresentation
bin110000011100100…
…111101000010000
32002122102221221200
4300130213220100
53131034334340
6212353151200
726066521503
oct6034475020
92078387850
10812808720
1138789a249
121a825b500
13cc519009
1479d4113a
154b557330
hex30727a10

812808720 has 60 divisors (see below), whose sum is σ = 2729685036. Its totient is φ = 216748800.

The previous prime is 812808697. The next prime is 812808739. The reversal of 812808720 is 27808218.

It can be written as a sum of positive squares in 2 ways, for example, as 566820864 + 245987856 = 23808^2 + 15684^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563731 + ... + 565170.

Almost surely, 2812808720 is an apocalyptic number.

812808720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812808720 is an abundant number, since it is smaller than the sum of its proper divisors (1916876316).

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

812808720 is a wasteful number, since it uses less digits than its factorization.

812808720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128920 (or 1128911 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 812808720 is about 28509.8004202064. The cubic root of 812808720 is about 933.2459589408.

It can be divided in two parts, 81280 and 8720, that added together give a square (90000 = 3002).

The spelling of 812808720 in words is "eight hundred twelve million, eight hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1128901 2257802 3386703 4515604 5644505 6773406 9031208 10160109 11289010 13546812 16933515 18062416 20320218 22578020 27093624 33867030 40640436 45156040 50800545 54187248 67734060 81280872 90312080 101601090 135468120 162561744 203202180 270936240 406404360 812808720