810480 has 80 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 195840.

The previous prime is 810473. The next prime is 810487. The reversal of 810480 is 84018.

It is an interprime number because it is at equal distance from previous prime (810473) and next prime (810487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810487) by changing a digit.

810480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 2793.

2⁸¹⁰⁴⁸⁰ is an apocalyptic number.

810480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

810480 is an abundant number, since it is smaller than the sum of its proper divisors (1939344).

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

810480 is a wasteful number, since it uses less digits than its factorization.

810480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 810480 is about 900.2666271722. The cubic root of 810480 is about 93.2353847723.

Adding to 810480 its reverse (84018), we get a palindrome (894498).

The spelling of 810480 in words is "eight hundred ten thousand, four hundred eighty".