8000451810 has 192 divisors, whose sum is σ = 23346610560. Its totient is φ = 1959552000.

The previous prime is 8000451793. The next prime is 8000451857. The reversal of 8000451810 is 181540008.

It is a super-2 number, since 2×8000451810² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7928586 + ... + 7929594.

It is an arithmetic number, because the mean of its divisors is an integer number (121596930).

Almost surely, 2^8000451810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000451810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11673305280).

8000451810 is an abundant number, since it is smaller than the sum of its proper divisors (15346158750).

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

8000451810 is a wasteful number, since it uses less digits than its factorization.

8000451810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 8000451810 is about 89445.2447590144. The cubic root of 8000451810 is about 2000.0376501246.

Adding to 8000451810 its reverse (181540008), we get a palindrome (8181991818).

The spelling of 8000451810 in words is "eight billion, four hundred fifty-one thousand, eight hundred ten".