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1000800768 = 2931159233
BaseRepresentation
bin111011101001110…
…000001000000000
32120202011221120010
4323221300020000
54022201111033
6243150344520
733541444332
oct7351601000
92522157503
101000800768
11473a20480
1223b1bb140
1312c45a806
1496cb9452
155ccdd863
hex3ba70200

1000800768 has 80 divisors (see below), whose sum is σ = 2908626336. Its totient is φ = 303267840.

The previous prime is 1000800743. The next prime is 1000800793. The reversal of 1000800768 is 8670080001.

It is an interprime number because it is at equal distance from previous prime (1000800743) and next prime (1000800793).

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 7 ways as a sum of consecutive naturals, for example, 12721 + ... + 46512.

Almost surely, 21000800768 is an apocalyptic number.

It is an amenable number.

1000800768 is an abundant number, since it is smaller than the sum of its proper divisors (1907825568).

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

1000800768 is an equidigital number, since it uses as much as digits as its factorization.

1000800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59265 (or 59249 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1000800768 is about 31635.4353218033. The cubic root of 1000800768 is about 1000.2668514506.

Adding to 1000800768 its reverse (8670080001), we get a palindrome (9670880769).

The spelling of 1000800768 in words is "one billion, eight hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 59233 118466 177699 236932 355398 473864 651563 710796 947728 1303126 1421592 1895456 1954689 2606252 2843184 3790912 3909378 5212504 5686368 7581824 7818756 10425008 11372736 15163648 15637512 20850016 22745472 30327296 31275024 41700032 45490944 62550048 83400064 90981888 125100096 166800128 250200192 333600256 500400384 1000800768