77920033 has 2 divisors, whose sum is σ = 77920034. Its totient is φ = 77920032.

The previous prime is 77919973. The next prime is 77920043. The reversal of 77920033 is 33002977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53831569 + 24088464 = 7337^2 + 4908^2 .

It is a cyclic number.

It is not a de Polignac number, because 77920033 - 2¹⁷ = 77788961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77919977 and 77920004.

It is not a weakly prime, because it can be changed into another prime (77920043) 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, 38960016 + 38960017.

It is an arithmetic number, because the mean of its divisors is an integer number (38960017).

Almost surely, 2^77920033 is an apocalyptic number.

It is an amenable number.

77920033 is a deficient number, since it is larger than the sum of its proper divisors (1).

77920033 is an equidigital number, since it uses as much as digits as its factorization.

77920033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 77920033 is about 8827.2324655013. The cubic root of 77920033 is about 427.1198046971.

The spelling of 77920033 in words is "seventy-seven million, nine hundred twenty thousand, thirty-three".