8399078400 has 132 divisors (see below), whose sum is σ = 27759645392. Its totient is φ = 2239733760.

The previous prime is 8399078377. The next prime is 8399078417. The reversal of 8399078400 is 48709938.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8399078400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22119 + ... + 131481.

Almost surely, 2^8399078400 is an apocalyptic number.

8399078400 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 8399078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879822696).

8399078400 is an abundant number, since it is smaller than the sum of its proper divisors (19360566992).

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

8399078400 is a wasteful number, since it uses less digits than its factorization.

8399078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109396 (or 109373 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 8399078400 is about 91646.4860210145. The cubic root of 8399078400 is about 2032.7183687772.

The spelling of 8399078400 in words is "eight billion, three hundred ninety-nine million, seventy-eight thousand, four hundred".