810723100 has 72 divisors (see below), whose sum is σ = 1924876800. Its totient is φ = 293937600.

The previous prime is 810723091. The next prime is 810723107. The reversal of 810723100 is 1327018.

It is a super-2 number, since 2×810723100² = 1314543889747220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810723107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460021 + ... + 461779.

It is an arithmetic number, because the mean of its divisors is an integer number (26734400).

Almost surely, 2^810723100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810723100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962438400).

810723100 is an abundant number, since it is smaller than the sum of its proper divisors (1114153700).

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

810723100 is a wasteful number, since it uses less digits than its factorization.

810723100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 810723100 is about 28473.1996796988. The cubic root of 810723100 is about 932.4470569170.

The spelling of 810723100 in words is "eight hundred ten million, seven hundred twenty-three thousand, one hundred".