8084444400 has 90 divisors (see below), whose sum is σ = 28055280240. Its totient is φ = 2155850880.

The previous prime is 8084444393. The next prime is 8084444413. The reversal of 8084444400 is 44444808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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 (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1119240 + ... + 1126439.

It is an arithmetic number, because the mean of its divisors is an integer number (311725336).

Almost surely, 2^8084444400 is an apocalyptic number.

8084444400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8084444400 is an abundant number, since it is smaller than the sum of its proper divisors (19970835840).

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

8084444400 is a wasteful number, since it uses less digits than its factorization.

8084444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245703 (or 2245689 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8084444400 is about 89913.5384689091. The cubic root of 8084444400 is about 2007.0124175973.

The spelling of 8084444400 in words is "eight billion, eighty-four million, four hundred forty-four thousand, four hundred".