810269982720 has 1200 divisors, whose sum is σ = 3360506976288. Its totient is φ = 184591319040.

The previous prime is 810269982713. The next prime is 810269982733. The reversal of 810269982720 is 27289962018.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1240841914 + ... + 1240842566.

Almost surely, 2^810269982720 is an apocalyptic number.

810269982720 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 810269982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680253488144).

810269982720 is an abundant number, since it is smaller than the sum of its proper divisors (2550236993568).

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

810269982720 is a wasteful number, since it uses less digits than its factorization.

810269982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 810269982720 in words is "eight hundred ten billion, two hundred sixty-nine million, nine hundred eighty-two thousand, seven hundred twenty".