8067782736 has 480 divisors, whose sum is σ = 27500462080. Its totient is φ = 2267481600.

The previous prime is 8067782729. The next prime is 8067782747. The reversal of 8067782736 is 6372877608.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29770281 + ... + 29770551.

Almost surely, 2^8067782736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8067782736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750231040).

8067782736 is an abundant number, since it is smaller than the sum of its proper divisors (19432679344).

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

8067782736 is a wasteful number, since it uses less digits than its factorization.

8067782736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 8067782736 is about 89820.8368698489. The cubic root of 8067782736 is about 2005.6326828827.

The spelling of 8067782736 in words is "eight billion, sixty-seven million, seven hundred eighty-two thousand, seven hundred thirty-six".