76842 has 16 divisors (see below), whose sum is σ = 170880. Its totient is φ = 25596.

The previous prime is 76837. The next prime is 76847. The reversal of 76842 is 24867.

It is an interprime number because it is at equal distance from previous prime (76837) and next prime (76847).

It is a super-4 number, since 4×76842⁴ (a number of 21 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (10680).

2⁷⁶⁸⁴² is an apocalyptic number.

76842 is an abundant number, since it is smaller than the sum of its proper divisors (94038).

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 (85440).

76842 is a wasteful number, since it uses less digits than its factorization.

76842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 76842 is about 277.2038960765. The cubic root of 76842 is about 42.5140899073.

The spelling of 76842 in words is "seventy-six thousand, eight hundred forty-two".