77641201 has 16 divisors (see below), whose sum is σ = 89553600. Its totient is φ = 66571200.

The previous prime is 77641199. The next prime is 77641247. The reversal of 77641201 is 10214677.

It is a cyclic number.

It is not a de Polignac number, because 77641201 - 2¹ = 77641199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77641201.

It is not an unprimeable number, because it can be changed into a prime (77641801) 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 15 ways as a sum of consecutive naturals, for example, 55531 + ... + 56911.

It is an arithmetic number, because the mean of its divisors is an integer number (5597100).

Almost surely, 2^77641201 is an apocalyptic number.

It is an amenable number.

77641201 is a deficient number, since it is larger than the sum of its proper divisors (11912399).

77641201 is a wasteful number, since it uses less digits than its factorization.

77641201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 77641201 is about 8811.4244591893. The cubic root of 77641201 is about 426.6097218789.

Adding to 77641201 its reverse (10214677), we get a palindrome (87855878).

It can be divided in two parts, 77 and 641201, that added together give a triangular number (641278 = T₁₁₃₂).

The spelling of 77641201 in words is "seventy-seven million, six hundred forty-one thousand, two hundred one".