307830 has 32 divisors (see below), whose sum is σ = 764928. Its totient is φ = 79200.

The previous prime is 307823. The next prime is 307831. The reversal of 307830 is 38703.

307830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 307797 and 307806.

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 307830.

It is not an unprimeable number, because it can be changed into a prime (307831) by changing a digit.

307830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (23904).

2³⁰⁷⁸³⁰ is an apocalyptic number.

307830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 307830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382464).

307830 is an abundant number, since it is smaller than the sum of its proper divisors (457098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

307830 is a wasteful number, since it uses less digits than its factorization.

307830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 307830 is about 554.8242965120. The cubic root of 307830 is about 67.5207069530.

The spelling of 307830 in words is "three hundred seven thousand, eight hundred thirty".