810501120 has 704 divisors, whose sum is σ = 3466471680. Its totient is φ = 176947200.

The previous prime is 810501119. The next prime is 810501151. The reversal of 810501120 is 21105018.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 810501093 and 810501102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19768300 + ... + 19768340.

Almost surely, 2^810501120 is an apocalyptic number.

810501120 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 810501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733235840).

810501120 is an abundant number, since it is smaller than the sum of its proper divisors (2655970560).

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

810501120 is a wasteful number, since it uses less digits than its factorization.

810501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 810501120 is about 28469.3013612909. The cubic root of 810501120 is about 932.3619462745.

Adding to 810501120 its reverse (21105018), we get a palindrome (831606138).

The spelling of 810501120 in words is "eight hundred ten million, five hundred one thousand, one hundred twenty".