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768404801 is a prime number
BaseRepresentation
bin101101110011001…
…110110101000001
31222112220000020002
4231303032311001
53033202423201
6204125325345
725020222143
oct5563166501
91875800202
10768404801
1136482099a
12195406855
13c326cac8
14740a2c93
15476d576b
hex2dcced41

768404801 has 2 divisors, whose sum is σ = 768404802. Its totient is φ = 768404800.

The previous prime is 768404773. The next prime is 768404807. The reversal of 768404801 is 108404867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 427042225 + 341362576 = 20665^2 + 18476^2 .

It is a cyclic number.

It is not a de Polignac number, because 768404801 - 210 = 768403777 is a prime.

It is not a weakly prime, because it can be changed into another prime (768404807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384202400 + 384202401.

It is an arithmetic number, because the mean of its divisors is an integer number (384202401).

Almost surely, 2768404801 is an apocalyptic number.

It is an amenable number.

768404801 is a deficient number, since it is larger than the sum of its proper divisors (1).

768404801 is an equidigital number, since it uses as much as digits as its factorization.

768404801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 768404801 is about 27720.1154579125. The cubic root of 768404801 is about 915.9322621261.

The spelling of 768404801 in words is "seven hundred sixty-eight million, four hundred four thousand, eight hundred one".