8099990400 has 192 divisors, whose sum is σ = 26761144320. Its totient is φ = 2153379840.

The previous prime is 8099990389. The next prime is 8099990401. The reversal of 8099990400 is 40999908.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 8099990400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8099990401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3675699 + ... + 3677901.

It is an arithmetic number, because the mean of its divisors is an integer number (139380960).

Almost surely, 2^8099990400 is an apocalyptic number.

8099990400 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 8099990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380572160).

8099990400 is an abundant number, since it is smaller than the sum of its proper divisors (18661153920).

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

8099990400 is a wasteful number, since it uses less digits than its factorization.

8099990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 8099990400 is about 89999.9466666509. The cubic root of 8099990400 is about 2008.2980568442.

The spelling of 8099990400 in words is "eight billion, ninety-nine million, nine hundred ninety thousand, four hundred".