77280005 has 16 divisors (see below), whose sum is σ = 101464704. Its totient is φ = 56038080.

The previous prime is 77279971. The next prime is 77280031. The reversal of 77280005 is 50008277.

It is not a de Polignac number, because 77280005 - 2⁸ = 77279749 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77280005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18632 + ... + 22398.

It is an arithmetic number, because the mean of its divisors is an integer number (6341544).

Almost surely, 2^77280005 is an apocalyptic number.

It is an amenable number.

77280005 is a deficient number, since it is larger than the sum of its proper divisors (24184699).

77280005 is a wasteful number, since it uses less digits than its factorization.

77280005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 77280005 is about 8790.9046747192. The cubic root of 77280005 is about 425.9471471529.

It can be divided in two parts, 77 and 280005, that added together give a palindrome (280082).

The spelling of 77280005 in words is "seventy-seven million, two hundred eighty thousand, five".