8278416000 has 256 divisors, whose sum is σ = 30493756800. Its totient is φ = 2207462400.

The previous prime is 8278415993. The next prime is 8278416031. The reversal of 8278416000 is 6148728.

8278416000 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 422419 + ... + 441581.

Almost surely, 2^8278416000 is an apocalyptic number.

8278416000 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 8278416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246878400).

8278416000 is an abundant number, since it is smaller than the sum of its proper divisors (22215340800).

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

8278416000 is a wasteful number, since it uses less digits than its factorization.

8278416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8278416000 is about 90985.8010900602. The cubic root of 8278416000 is about 2022.9372685461.

The spelling of 8278416000 in words is "eight billion, two hundred seventy-eight million, four hundred sixteen thousand".