810240 has 72 divisors (see below), whose sum is σ = 2599968. Its totient is φ = 215040.

The previous prime is 810239. The next prime is 810253. The reversal of 810240 is 42018.

810240 = T₂₉₁ + T₂₉₂ + ... + T₃₀₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3735 + ... + 3945.

2⁸¹⁰²⁴⁰ is an apocalyptic number.

810240 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 810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299984).

810240 is an abundant number, since it is smaller than the sum of its proper divisors (1789728).

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

810240 is a wasteful number, since it uses less digits than its factorization.

810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 810240 is about 900.1333234583. The cubic root of 810240 is about 93.2261808843.

Adding to 810240 its reverse (42018), we get a palindrome (852258).

The spelling of 810240 in words is "eight hundred ten thousand, two hundred forty".