8084468400 has 60 divisors (see below), whose sum is σ = 25897250952. Its totient is φ = 2155857920.

The previous prime is 8084468389. The next prime is 8084468407. The reversal of 8084468400 is 48644808.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (8084468407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367329 + ... + 3369728.

Almost surely, 2^8084468400 is an apocalyptic number.

8084468400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8084468400 is an abundant number, since it is smaller than the sum of its proper divisors (17812782552).

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

8084468400 is a wasteful number, since it uses less digits than its factorization.

8084468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737078 (or 6737067 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 8084468400 is about 89913.6719303577. The cubic root of 8084468400 is about 2007.0144036440.

The spelling of 8084468400 in words is "eight billion, eighty-four million, four hundred sixty-eight thousand, four hundred".