76405 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 50112.

The previous prime is 76403. The next prime is 76421. The reversal of 76405 is 50467.

It is a cyclic number.

It is not a de Polignac number, because 76405 - 2¹ = 76403 is a prime.

It is an Ulam number.

76405 is a lucky number.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76403) 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, 1266 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁷⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

76405 is a deficient number, since it is larger than the sum of its proper divisors (33035).

76405 is a wasteful number, since it uses less digits than its factorization.

76405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 76405 is about 276.4145437563. The cubic root of 76405 is about 42.4333441871.

The spelling of 76405 in words is "seventy-six thousand, four hundred five".