8088448000 has 176 divisors, whose sum is σ = 20884312800. Its totient is φ = 3122380800.

The previous prime is 8088447967. The next prime is 8088448021. The reversal of 8088448000 is 8448808.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3710911 + ... + 3713089.

Almost surely, 2^8088448000 is an apocalyptic number.

8088448000 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 8088448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442156400).

8088448000 is an abundant number, since it is smaller than the sum of its proper divisors (12795864800).

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

8088448000 is a wasteful number, since it uses less digits than its factorization.

8088448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8088448000 is about 89935.7993237398. The cubic root of 8088448000 is about 2007.3436689267.

The spelling of 8088448000 in words is "eight billion, eighty-eight million, four hundred forty-eight thousand".