77319305 has 12 divisors (see below), whose sum is σ = 107931780. Its totient is φ = 53018784.

The previous prime is 77319299. The next prime is 77319311. The reversal of 77319305 is 50391377.

It is an interprime number because it is at equal distance from previous prime (77319299) and next prime (77319311).

It can be written as a sum of positive squares in 2 ways, for example, as 54125449 + 23193856 = 7357^2 + 4816^2 .

It is not a de Polignac number, because 77319305 - 2⁶ = 77319241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 157550 + ... + 158039.

It is an arithmetic number, because the mean of its divisors is an integer number (8994315).

Almost surely, 2^77319305 is an apocalyptic number.

It is an amenable number.

77319305 is a deficient number, since it is larger than the sum of its proper divisors (30612475).

77319305 is a wasteful number, since it uses less digits than its factorization.

77319305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315608 (or 315601 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 77319305 is about 8793.1396554359. The cubic root of 77319305 is about 426.0193386858.

The spelling of 77319305 in words is "seventy-seven million, three hundred nineteen thousand, three hundred five".