76542 has 8 divisors (see below), whose sum is σ = 153096. Its totient is φ = 25512.

The previous prime is 76541. The next prime is 76543. The reversal of 76542 is 24567.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76541) and next prime (76543).

It is a sphenic number, since it is the product of 3 distinct primes.

76542 is an admirable number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76541) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6373 + ... + 6384.

It is an arithmetic number, because the mean of its divisors is an integer number (19137).

2⁷⁶⁵⁴² is an apocalyptic number.

76542 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (76548).

76542 is a wasteful number, since it uses less digits than its factorization.

76542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12762.

The product of its digits is 1680, while the sum is 24.

The square root of 76542 is about 276.6622489607. The cubic root of 76542 is about 42.4586911191.

The spelling of 76542 in words is "seventy-six thousand, five hundred forty-two".