30760 has 16 divisors (see below), whose sum is σ = 69300. Its totient is φ = 12288.

The previous prime is 30757. The next prime is 30763. The reversal of 30760 is 6703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30757) and next prime (30763).

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 484 = 174^2 + 22^2 .

It is not an unprimeable number, because it can be changed into a prime (30763) 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, 345 + ... + 424.

2³⁰⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

30760 is an abundant number, since it is smaller than the sum of its proper divisors (38540).

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 (34650).

30760 is a wasteful number, since it uses less digits than its factorization.

30760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 30760 is about 175.3852901472. The cubic root of 30760 is about 31.3325285242.

The spelling of 30760 in words is "thirty thousand, seven hundred sixty".