76409 has 4 divisors (see below), whose sum is σ = 77220. Its totient is φ = 75600.

The previous prime is 76403. The next prime is 76421. The reversal of 76409 is 90467.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 90467 = 13 ⋅6959.

It can be written as a sum of positive squares in 2 ways, for example, as 60025 + 16384 = 245^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 76409 - 2¹² = 72313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76409.

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 3 ways as a sum of consecutive naturals, for example, 242 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2⁷⁶⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

76409 is a deficient number, since it is larger than the sum of its proper divisors (811).

76409 is a wasteful number, since it uses less digits than its factorization.

76409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 76409 is about 276.4217791709. The cubic root of 76409 is about 42.4340846728.

The spelling of 76409 in words is "seventy-six thousand, four hundred nine".