77429782241 has 32 divisors (see below), whose sum is σ = 96798320640. Its totient is φ = 60399820800.

The previous prime is 77429782219. The next prime is 77429782253. The reversal of 77429782241 is 14228792477.

It is a cyclic number.

It is not a de Polignac number, because 77429782241 - 2¹⁸ = 77429520097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77429782201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4865225 + ... + 4881113.

It is an arithmetic number, because the mean of its divisors is an integer number (3024947520).

Almost surely, 2^77429782241 is an apocalyptic number.

It is an amenable number.

77429782241 is a deficient number, since it is larger than the sum of its proper divisors (19368538399).

77429782241 is a wasteful number, since it uses less digits than its factorization.

77429782241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17265.

The product of its digits is 3161088, while the sum is 53.

The spelling of 77429782241 in words is "seventy-seven billion, four hundred twenty-nine million, seven hundred eighty-two thousand, two hundred forty-one".