807930 has 48 divisors (see below), whose sum is σ = 2156544. Its totient is φ = 209760.

The previous prime is 807923. The next prime is 807931. The reversal of 807930 is 39708.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 807894 and 807903.

It is not an unprimeable number, because it can be changed into a prime (807931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4135 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (44928).

2⁸⁰⁷⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078272).

807930 is an abundant number, since it is smaller than the sum of its proper divisors (1348614).

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

807930 is a wasteful number, since it uses less digits than its factorization.

807930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 807930 is about 898.8492643375. The cubic root of 807930 is about 93.1375003864.

The spelling of 807930 in words is "eight hundred seven thousand, nine hundred thirty".