8078336000 has 448 divisors, whose sum is σ = 24535180800. Its totient is φ = 2649292800.

The previous prime is 8078335999. The next prime is 8078336003. The reversal of 8078336000 is 6338708.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8078336003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351231989 + ... + 351232011.

Almost surely, 2^8078336000 is an apocalyptic number.

8078336000 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 8078336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267590400).

8078336000 is an abundant number, since it is smaller than the sum of its proper divisors (16456844800).

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

8078336000 is an frugal number, since it uses more digits than its factorization.

8078336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 8078336000 is about 89879.5638618702. The cubic root of 8078336000 is about 2006.5068077689.

The spelling of 8078336000 in words is "eight billion, seventy-eight million, three hundred thirty-six thousand".