8129318400 has 720 divisors, whose sum is σ = 35263841184. Its totient is φ = 1745879040.

The previous prime is 8129318377. The next prime is 8129318413. The reversal of 8129318400 is 48139218.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13708504 + ... + 13709096.

Almost surely, 2^8129318400 is an apocalyptic number.

8129318400 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 8129318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631920592).

8129318400 is an abundant number, since it is smaller than the sum of its proper divisors (27134522784).

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

8129318400 is a wasteful number, since it uses less digits than its factorization.

8129318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8129318400 is about 90162.7328778360. The cubic root of 8129318400 is about 2010.7189824102.

The spelling of 8129318400 in words is "eight billion, one hundred twenty-nine million, three hundred eighteen thousand, four hundred".