8378524800 has 576 divisors, whose sum is σ = 32149002600. Its totient is φ = 2070282240.

The previous prime is 8378524799. The next prime is 8378524837. The reversal of 8378524800 is 84258738.

It can be written as a sum of positive squares in 12 ways, for example, as 1229484096 + 7149040704 = 35064^2 + 84552^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53366322 + ... + 53366478.

Almost surely, 2^8378524800 is an apocalyptic number.

8378524800 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 8378524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074501300).

8378524800 is an abundant number, since it is smaller than the sum of its proper divisors (23770477800).

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

8378524800 is a wasteful number, since it uses less digits than its factorization.

8378524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8378524800 is about 91534.2821023905. The cubic root of 8378524800 is about 2031.0589086665.

The spelling of 8378524800 in words is "eight billion, three hundred seventy-eight million, five hundred twenty-four thousand, eight hundred".