8482378000 has 40 divisors (see below), whose sum is σ = 20510394840. Its totient is φ = 3392950400.

The previous prime is 8482377991. The next prime is 8482378001. The reversal of 8482378000 is 8732848.

It can be written as a sum of positive squares in 4 ways, for example, as 123298816 + 8359079184 = 11104^2 + 91428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (8482378001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118595 + ... + 2122594.

It is an arithmetic number, because the mean of its divisors is an integer number (512759871).

Almost surely, 2^8482378000 is an apocalyptic number.

8482378000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8482378000 is an abundant number, since it is smaller than the sum of its proper divisors (12028016840).

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

8482378000 is a wasteful number, since it uses less digits than its factorization.

8482378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241212 (or 4241196 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8482378000 is about 92099.8262756233. The cubic root of 8482378000 is about 2039.4162433259.

The spelling of 8482378000 in words is "eight billion, four hundred eighty-two million, three hundred seventy-eight thousand".