77845201 has 8 divisors (see below), whose sum is σ = 89216640. Its totient is φ = 66536448.

The previous prime is 77845177. The next prime is 77845219. The reversal of 77845201 is 10254877.

It is a happy number.

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 77845201 - 2¹⁷ = 77714129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77845231) 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 in 7 ways as a sum of consecutive naturals, for example, 12976 + ... + 18001.

It is an arithmetic number, because the mean of its divisors is an integer number (11152080).

Almost surely, 2^77845201 is an apocalyptic number.

It is an amenable number.

77845201 is a deficient number, since it is larger than the sum of its proper divisors (11371439).

77845201 is a wasteful number, since it uses less digits than its factorization.

77845201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31343.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 77845201 is about 8822.9927462285. The cubic root of 77845201 is about 426.9830300009.

The spelling of 77845201 in words is "seventy-seven million, eight hundred forty-five thousand, two hundred one".