8314490800 has 480 divisors, whose sum is σ = 26472305664. Its totient is φ = 2453299200.

The previous prime is 8314490771. The next prime is 8314490827. The reversal of 8314490800 is 80944138.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8314490800.

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, 85716352 + ... + 85716448.

Almost surely, 2^8314490800 is an apocalyptic number.

8314490800 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 8314490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236152832).

8314490800 is an abundant number, since it is smaller than the sum of its proper divisors (18157814864).

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

8314490800 is a wasteful number, since it uses less digits than its factorization.

8314490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 8314490800 is about 91183.8297068071. The cubic root of 8314490800 is about 2025.8714574609.

The spelling of 8314490800 in words is "eight billion, three hundred fourteen million, four hundred ninety thousand, eight hundred".