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77800213 is a prime number
BaseRepresentation
bin1001010001100…
…10001100010101
312102101122211101
410220302030111
5124404101323
611415310101
71633201531
oct450621425
9172348741
1077800213
113aa094a7
122207b331
131317003a
14a492bc1
156c6bdad
hex4a32315

77800213 has 2 divisors, whose sum is σ = 77800214. Its totient is φ = 77800212.

The previous prime is 77800207. The next prime is 77800223. The reversal of 77800213 is 31200877.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70526404 + 7273809 = 8398^2 + 2697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77800213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77800223) by changing a digit.

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 as a sum of consecutive naturals, namely, 38900106 + 38900107.

It is an arithmetic number, because the mean of its divisors is an integer number (38900107).

Almost surely, 277800213 is an apocalyptic number.

It is an amenable number.

77800213 is a deficient number, since it is larger than the sum of its proper divisors (1).

77800213 is an equidigital number, since it uses as much as digits as its factorization.

77800213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 77800213 is about 8820.4429027119. The cubic root of 77800213 is about 426.9007606856.

The spelling of 77800213 in words is "seventy-seven million, eight hundred thousand, two hundred thirteen".