307820 has 12 divisors (see below), whose sum is σ = 646464. Its totient is φ = 123120.

The previous prime is 307817. The next prime is 307823. The reversal of 307820 is 28703.

It is an interprime number because it is at equal distance from previous prime (307817) and next prime (307823).

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15391 = 307820 / (3 + 0 + 7 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 307792 and 307801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307820.

It is not an unprimeable number, because it can be changed into a prime (307823) 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, 7676 + ... + 7715.

It is an arithmetic number, because the mean of its divisors is an integer number (53872).

2³⁰⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

307820 is an abundant number, since it is smaller than the sum of its proper divisors (338644).

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

307820 is a wasteful number, since it uses less digits than its factorization.

307820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15400 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 307820 is about 554.8152845768. The cubic root of 307820 is about 67.5199757979.

The spelling of 307820 in words is "three hundred seven thousand, eight hundred twenty".