76415 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 53760.

The previous prime is 76403. The next prime is 76421. The reversal of 76415 is 51467.

It is not a de Polignac number, because 76415 - 2⁸ = 76159 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁷⁶⁴¹⁵ is an apocalyptic number.

76415 is a deficient number, since it is larger than the sum of its proper divisors (27265).

76415 is a wasteful number, since it uses less digits than its factorization.

76415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 840, while the sum is 23.

The square root of 76415 is about 276.4326319377. The cubic root of 76415 is about 42.4351953528.

The spelling of 76415 in words is "seventy-six thousand, four hundred fifteen".