77742305 has 8 divisors (see below), whose sum is σ = 94117032. Its totient is φ = 61643008.

The previous prime is 77742293. The next prime is 77742331. The reversal of 77742305 is 50324777.

It can be written as a sum of positive squares in 4 ways, for example, as 20449 + 77721856 = 143^2 + 8816^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77742305 - 2⁴ = 77742289 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68234 + ... + 69363.

It is an arithmetic number, because the mean of its divisors is an integer number (11764629).

Almost surely, 2^77742305 is an apocalyptic number.

It is an amenable number.

77742305 is a deficient number, since it is larger than the sum of its proper divisors (16374727).

77742305 is a wasteful number, since it uses less digits than its factorization.

77742305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137715.

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 77742305 is about 8817.1596900589. The cubic root of 77742305 is about 426.7948179371.

The spelling of 77742305 in words is "seventy-seven million, seven hundred forty-two thousand, three hundred five".