76506 has 16 divisors (see below), whose sum is σ = 157248. Its totient is φ = 24800.

The previous prime is 76493. The next prime is 76507. The reversal of 76506 is 60567.

It is not an unprimeable number, because it can be changed into a prime (76507) by changing a digit.

76506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁷⁶⁵⁰⁶ is an apocalyptic number.

76506 is an abundant number, since it is smaller than the sum of its proper divisors (80742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

76506 is a wasteful number, since it uses less digits than its factorization.

76506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 76506 is about 276.5971800290. The cubic root of 76506 is about 42.4520335429.

The spelling of 76506 in words is "seventy-six thousand, five hundred six".