76530 has 16 divisors (see below), whose sum is σ = 183744. Its totient is φ = 20400.

The previous prime is 76519. The next prime is 76537. The reversal of 76530 is 3567.

It is a plaindrome in base 13.

It is a nialpdrome in base 5 and base 10.

It is a junction number, because it is equal to n+sod(n) for n = 76497 and 76506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76530.

It is not an unprimeable number, because it can be changed into a prime (76537) by changing a digit.

76530 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, 1246 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (11484).

2⁷⁶⁵³⁰ is an apocalyptic number.

76530 is an abundant number, since it is smaller than the sum of its proper divisors (107214).

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 (91872).

76530 is a wasteful number, since it uses less digits than its factorization.

76530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 76530 is about 276.6405610174. The cubic root of 76530 is about 42.4564721590.

It can be divided in two parts, 76 and 530, that added together give a palindrome (606).

The spelling of 76530 in words is "seventy-six thousand, five hundred thirty".