8809046400 has 768 divisors, whose sum is σ = 38356830720. Its totient is φ = 1720320000.

The previous prime is 8809046377. The next prime is 8809046413. The reversal of 8809046400 is 46409088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12566050 + ... + 12566750.

It is an arithmetic number, because the mean of its divisors is an integer number (49943790).

Almost surely, 2^8809046400 is an apocalyptic number.

8809046400 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 8809046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178415360).

8809046400 is an abundant number, since it is smaller than the sum of its proper divisors (29547784320).

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

8809046400 is a wasteful number, since it uses less digits than its factorization.

8809046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8809046400 is about 93856.5202849541. The cubic root of 8809046400 is about 2065.2674446020.

The spelling of 8809046400 in words is "eight billion, eight hundred nine million, forty-six thousand, four hundred".