8005505400 has 120 divisors (see below), whose sum is σ = 27804362520. Its totient is φ = 2134797120.

The previous prime is 8005505399. The next prime is 8005505461. The reversal of 8005505400 is 45055008.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 230884 + ... + 263283.

It is an arithmetic number, because the mean of its divisors is an integer number (231703021).

Almost surely, 2^8005505400 is an apocalyptic number.

It is an amenable number.

8005505400 is an abundant number, since it is smaller than the sum of its proper divisors (19798857120).

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

8005505400 is a wasteful number, since it uses less digits than its factorization.

8005505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494195 (or 494177 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 8005505400 is about 89473.4899285816. The cubic root of 8005505400 is about 2000.4586781325.

The spelling of 8005505400 in words is "eight billion, five million, five hundred five thousand, four hundred".