8378218800 has 1200 divisors, whose sum is σ = 37976444352. Its totient is φ = 1725235200.

The previous prime is 8378218787. The next prime is 8378218801. The reversal of 8378218800 is 88128738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (8378218801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 158079574 + ... + 158079626.

Almost surely, 2^8378218800 is an apocalyptic number.

8378218800 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 8378218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988222176).

8378218800 is an abundant number, since it is smaller than the sum of its proper divisors (29598225552).

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

8378218800 is a wasteful number, since it uses less digits than its factorization.

8378218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8378218800 is about 91532.6105822400. The cubic root of 8378218800 is about 2031.0341822933.

The spelling of 8378218800 in words is "eight billion, three hundred seventy-eight million, two hundred eighteen thousand, eight hundred".