810900720 has 480 divisors, whose sum is σ = 3314787840. Its totient is φ = 180403200.

The previous prime is 810900691. The next prime is 810900721. The reversal of 810900720 is 27009018.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810900721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8028670 + ... + 8028770.

It is an arithmetic number, because the mean of its divisors is an integer number (6905808).

Almost surely, 2^810900720 is an apocalyptic number.

810900720 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 810900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657393920).

810900720 is an abundant number, since it is smaller than the sum of its proper divisors (2503887120).

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

810900720 is a wasteful number, since it uses less digits than its factorization.

810900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 810900720 is about 28476.3185822887. The cubic root of 810900720 is about 932.5151480456.

Adding to 810900720 its reverse (27009018), we get a palindrome (837909738).

The spelling of 810900720 in words is "eight hundred ten million, nine hundred thousand, seven hundred twenty".