8131804800 has 576 divisors, whose sum is σ = 31793277600. Its totient is φ = 1820958720.

The previous prime is 8131804753. The next prime is 8131804847. The reversal of 8131804800 is 84081318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8131804753) and next prime (8131804847).

It is a super-2 number, since 2×8131804800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27753454 + ... + 27753746.

Almost surely, 2^8131804800 is an apocalyptic number.

8131804800 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 8131804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896638800).

8131804800 is an abundant number, since it is smaller than the sum of its proper divisors (23661472800).

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

8131804800 is a wasteful number, since it uses less digits than its factorization.

8131804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8131804800 is about 90176.5202256108. The cubic root of 8131804800 is about 2010.9239582689.

The spelling of 8131804800 in words is "eight billion, one hundred thirty-one million, eight hundred four thousand, eight hundred".