80742 has 8 divisors (see below), whose sum is σ = 161496. Its totient is φ = 26912.

The previous prime is 80737. The next prime is 80747. The reversal of 80742 is 24708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80737) and next prime (80747).

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

80742 is an admirable number.

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 80742.

It is not an unprimeable number, because it can be changed into a prime (80747) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6723 + ... + 6734.

It is an arithmetic number, because the mean of its divisors is an integer number (20187).

2⁸⁰⁷⁴² is an apocalyptic number.

80742 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 (80748).

80742 is a wasteful number, since it uses less digits than its factorization.

80742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13462.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 80742 is about 284.1513681121. The cubic root of 80742 is about 43.2214999291.

The spelling of 80742 in words is "eighty thousand, seven hundred forty-two".