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768040804000 = 2553192010201
BaseRepresentation
bin10110010110100101100…
…11001001111010100000
32201102110002021100221201
423023102303021322200
5100040421421212000
61344455535530544
7106326524055331
oct13132263117240
92642402240851
10768040804000
112767a7013818
12104a27389a54
135756ca25a02
142925da44288
1514ea26b596a
hexb2d2cc9ea0

768040804000 has 48 divisors (see below), whose sum is σ = 1887076265256. Its totient is φ = 307216320000.

The previous prime is 768040803997. The next prime is 768040804007. The reversal of 768040804000 is 408040867.

It can be written as a sum of positive squares in 4 ways, for example, as 498227045904 + 269813758096 = 705852^2 + 519436^2 .

It is not an unprimeable number, because it can be changed into a prime (768040804007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96001101 + ... + 96009100.

Almost surely, 2768040804000 is an apocalyptic number.

It is an amenable number.

768040804000 is an abundant number, since it is smaller than the sum of its proper divisors (1119035461256).

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

768040804000 is a wasteful number, since it uses less digits than its factorization.

768040804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192010226 (or 192010208 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

Adding to 768040804000 its reverse (408040867), we get a palindrome (768448844867).

The spelling of 768040804000 in words is "seven hundred sixty-eight billion, forty million, eight hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 192010201 384020402 768040804 960051005 1536081608 1920102010 3072163216 3840204020 4800255025 6144326432 7680408040 9600510050 15360816080 19201020100 24001275125 30721632160 38402040200 48002550250 76804080400 96005100500 153608160800 192010201000 384020402000 768040804000