810672320 has 112 divisors (see below), whose sum is σ = 2022506496. Its totient is φ = 309120000.

The previous prime is 810672307. The next prime is 810672323. The reversal of 810672320 is 23276018.

It is a happy number.

It is a super-3 number, since 3×810672320³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (810672323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703745 + ... + 704895.

Almost surely, 2^810672320 is an apocalyptic number.

810672320 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 810672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011253248).

810672320 is an abundant number, since it is smaller than the sum of its proper divisors (1211834176).

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

810672320 is a wasteful number, since it uses less digits than its factorization.

810672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 810672320 is about 28472.3079500064. The cubic root of 810672320 is about 932.4275884326.

The spelling of 810672320 in words is "eight hundred ten million, six hundred seventy-two thousand, three hundred twenty".