42760 has 16 divisors (see below), whose sum is σ = 96300. Its totient is φ = 17088.

The previous prime is 42751. The next prime is 42767. The reversal of 42760 is 6724.

It can be written as a sum of positive squares in 2 ways, for example, as 42436 + 324 = 206^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (42767) 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, 495 + ... + 574.

2⁴²⁷⁶⁰ is an apocalyptic number.

42760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42760 is an abundant number, since it is smaller than the sum of its proper divisors (53540).

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 (48150).

42760 is a wasteful number, since it uses less digits than its factorization.

42760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 42760 is about 206.7849124090. The cubic root of 42760 is about 34.9686794635.

Subtracting from 42760 its product of nonzero digits (336), we obtain a palindrome (42424).

The spelling of 42760 in words is "forty-two thousand, seven hundred sixty".