77472605705 has 16 divisors (see below), whose sum is σ = 102702470400. Its totient is φ = 55630498560.

The previous prime is 77472605701. The next prime is 77472605761. The reversal of 77472605705 is 50750627477.

It is a happy number.

It is not a de Polignac number, because 77472605705 - 2² = 77472605701 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77472605701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8910800 + ... + 8919489.

It is an arithmetic number, because the mean of its divisors is an integer number (6418904400).

Almost surely, 2^77472605705 is an apocalyptic number.

It is an amenable number.

77472605705 is a deficient number, since it is larger than the sum of its proper divisors (25229864695).

77472605705 is a wasteful number, since it uses less digits than its factorization.

77472605705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830384.

The product of its (nonzero) digits is 2881200, while the sum is 50.

The spelling of 77472605705 in words is "seventy-seven billion, four hundred seventy-two million, six hundred five thousand, seven hundred five".