77280349 has 2 divisors, whose sum is σ = 77280350. Its totient is φ = 77280348.

The previous prime is 77280347. The next prime is 77280373. The reversal of 77280349 is 94308277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61622500 + 15657849 = 7850^2 + 3957^2 .

It is a cyclic number.

It is not a de Polignac number, because 77280349 - 2¹ = 77280347 is a prime.

Together with 77280347, it forms a pair of twin primes.

It is equal to p_4519993 and since 77280349 and 4519993 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77280347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38640174 + 38640175.

It is an arithmetic number, because the mean of its divisors is an integer number (38640175).

Almost surely, 2^77280349 is an apocalyptic number.

It is an amenable number.

77280349 is a deficient number, since it is larger than the sum of its proper divisors (1).

77280349 is an equidigital number, since it uses as much as digits as its factorization.

77280349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 77280349 is about 8790.9242403743. The cubic root of 77280349 is about 425.9477791646.

The spelling of 77280349 in words is "seventy-seven million, two hundred eighty thousand, three hundred forty-nine".