8378380800 has 300 divisors, whose sum is σ = 31012840386. Its totient is φ = 2233958400.

The previous prime is 8378380783. The next prime is 8378380817. The reversal of 8378380800 is 80838738.

It is an interprime number because it is at equal distance from previous prime (8378380783) and next prime (8378380817).

It can be written as a sum of positive squares in 3 ways, for example, as 5585469696 + 2792911104 = 74736^2 + 52848^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1032760 + ... + 1040840.

Almost surely, 2^8378380800 is an apocalyptic number.

8378380800 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 8378380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506420193).

8378380800 is an abundant number, since it is smaller than the sum of its proper divisors (22634459586).

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

8378380800 is an equidigital number, since it uses as much as digits as its factorization.

8378380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8378380800 is about 91533.4955084749. The cubic root of 8378380800 is about 2031.0472728012.

The spelling of 8378380800 in words is "eight billion, three hundred seventy-eight million, three hundred eighty thousand, eight hundred".