810140728320 has 2816 divisors, whose sum is σ = 3935648010240. Its totient is φ = 154156400640.

The previous prime is 810140728231. The next prime is 810140728343. The reversal of 810140728320 is 23827041018.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21895695342 + ... + 21895695378.

Almost surely, 2^810140728320 is an apocalyptic number.

810140728320 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 810140728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967824005120).

810140728320 is an abundant number, since it is smaller than the sum of its proper divisors (3125507281920).

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

810140728320 is a wasteful number, since it uses less digits than its factorization.

810140728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 810140728320 its reverse (23827041018), we get a palindrome (833967769338).

The spelling of 810140728320 in words is "eight hundred ten billion, one hundred forty million, seven hundred twenty-eight thousand, three hundred twenty".