8399798400 has 384 divisors, whose sum is σ = 31812249600. Its totient is φ = 1908264960.

The previous prime is 8399798399. The next prime is 8399798437. The reversal of 8399798400 is 48979938.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8399798400² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 16060539 + ... + 16061061.

It is an arithmetic number, because the mean of its divisors is an integer number (82844400).

Almost surely, 2^8399798400 is an apocalyptic number.

8399798400 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 8399798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906124800).

8399798400 is an abundant number, since it is smaller than the sum of its proper divisors (23412451200).

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

8399798400 is a wasteful number, since it uses less digits than its factorization.

8399798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 8399798400 is about 91650.4140743510. The cubic root of 8399798400 is about 2032.7764511579.

The spelling of 8399798400 in words is "eight billion, three hundred ninety-nine million, seven hundred ninety-eight thousand, four hundred".