Search a number
-
+
768830556797 is a prime number
BaseRepresentation
bin10110011000000011101…
…11110100101001111101
32201111111010022222010022
423030001313310221331
5100044031110304142
61345110151021525
7106355223622532
oct13140167645175
92644433288108
10768830556797
11277071895786
1210500796a8a5
135766752b664
14292d68a2d89
1514eebbb66d2
hexb301df4a7d

768830556797 has 2 divisors, whose sum is σ = 768830556798. Its totient is φ = 768830556796.

The previous prime is 768830556787. The next prime is 768830556803. The reversal of 768830556797 is 797655038867.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410914332676 + 357916224121 = 641026^2 + 598261^2 .

It is a cyclic number.

It is not a de Polignac number, because 768830556797 - 236 = 700111080061 is a prime.

It is a super-2 number, since 2×7688305567972 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 768830556797.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768830556737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384415278398 + 384415278399.

It is an arithmetic number, because the mean of its divisors is an integer number (384415278399).

Almost surely, 2768830556797 is an apocalyptic number.

It is an amenable number.

768830556797 is a deficient number, since it is larger than the sum of its proper divisors (1).

768830556797 is an equidigital number, since it uses as much as digits as its factorization.

768830556797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 533433600, while the sum is 71.

The spelling of 768830556797 in words is "seven hundred sixty-eight billion, eight hundred thirty million, five hundred fifty-six thousand, seven hundred ninety-seven".