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78768961 is a prime number
BaseRepresentation
bin1001011000111…
…10101101000001
312111012212200221
410230132231001
5130131101321
611452143041
71644345055
oct454365501
9174185627
1078768961
1140510317
1222467a81
131341bc6b
14a665c65
156dade41
hex4b1eb41

78768961 has 2 divisors, whose sum is σ = 78768962. Its totient is φ = 78768960.

The previous prime is 78768917. The next prime is 78768979. The reversal of 78768961 is 16986787.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78499600 + 269361 = 8860^2 + 519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-78768961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 78768899 and 78768908.

It is not a weakly prime, because it can be changed into another prime (78768061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39384480 + 39384481.

It is an arithmetic number, because the mean of its divisors is an integer number (39384481).

Almost surely, 278768961 is an apocalyptic number.

It is an amenable number.

78768961 is a deficient number, since it is larger than the sum of its proper divisors (1).

78768961 is an equidigital number, since it uses as much as digits as its factorization.

78768961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 52.

The square root of 78768961 is about 8875.1879416720. The cubic root of 78768961 is about 428.6653425036.

The spelling of 78768961 in words is "seventy-eight million, seven hundred sixty-eight thousand, nine hundred sixty-one".