807030 has 96 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 181440.

The previous prime is 807017. The next prime is 807071. The reversal of 807030 is 30708.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 806994 and 807012.

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 807030.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13200 + ... + 13260.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2⁸⁰⁷⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

807030 is an abundant number, since it is smaller than the sum of its proper divisors (1737450).

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

807030 is a wasteful number, since it uses less digits than its factorization.

807030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 807030 is about 898.3484847207. The cubic root of 807030 is about 93.1029037857.

Adding to 807030 its reverse (30708), we get a palindrome (837738).

It can be divided in two parts, 8070 and 30, that added together give a square (8100 = 90²).

The spelling of 807030 in words is "eight hundred seven thousand, thirty".