77742145 has 8 divisors (see below), whose sum is σ = 100466856. Its totient is φ = 57409536.

The previous prime is 77742131. The next prime is 77742163. The reversal of 77742145 is 54124777.

It can be written as a sum of positive squares in 4 ways, for example, as 3713329 + 74028816 = 1927^2 + 8604^2 .

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 77742145 - 2⁵ = 77742113 is a prime.

It is a super-2 number, since 2×77742145² = 12087682218402050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597952 + ... + 598081.

It is an arithmetic number, because the mean of its divisors is an integer number (12558357).

Almost surely, 2^77742145 is an apocalyptic number.

It is an amenable number.

77742145 is a deficient number, since it is larger than the sum of its proper divisors (22724711).

77742145 is a wasteful number, since it uses less digits than its factorization.

77742145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196051.

The product of its digits is 54880, while the sum is 37.

The square root of 77742145 is about 8817.1506168376. The cubic root of 77742145 is about 426.7945251440.

The spelling of 77742145 in words is "seventy-seven million, seven hundred forty-two thousand, one hundred forty-five".