8808134400 has 540 divisors, whose sum is σ = 35099727432. Its totient is φ = 2166497280.

The previous prime is 8808134393. The next prime is 8808134449. The reversal of 8808134400 is 44318088.

It is a tau number, because it is divible by the number of its divisors (540).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6738547 + ... + 6739853.

Almost surely, 2^8808134400 is an apocalyptic number.

8808134400 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 8808134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549863716).

8808134400 is an abundant number, since it is smaller than the sum of its proper divisors (26291593032).

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

8808134400 is a wasteful number, since it uses less digits than its factorization.

8808134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8808134400 is about 93851.6616794823. The cubic root of 8808134400 is about 2065.1961698075.

The spelling of 8808134400 in words is "eight billion, eight hundred eight million, one hundred thirty-four thousand, four hundred".