8514130800 has 480 divisors, whose sum is σ = 32875610112. Its totient is φ = 1841495040.

The previous prime is 8514130789. The next prime is 8514130813. The reversal of 8514130800 is 80314158.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24536227 + ... + 24536573.

Almost surely, 2^8514130800 is an apocalyptic number.

8514130800 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 8514130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437805056).

8514130800 is an abundant number, since it is smaller than the sum of its proper divisors (24361479312).

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

8514130800 is a wasteful number, since it uses less digits than its factorization.

8514130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8514130800 is about 92272.0477717927. The cubic root of 8514130800 is about 2041.9578474238.

Adding to 8514130800 its reverse (80314158), we get a palindrome (8594444958).

The spelling of 8514130800 in words is "eight billion, five hundred fourteen million, one hundred thirty thousand, eight hundred".