8067077040 has 160 divisors (see below), whose sum is σ = 28467749376. Its totient is φ = 1870612480.

The previous prime is 8067077023. The next prime is 8067077047. The reversal of 8067077040 is 407707608.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8067077040.

It is not an unprimeable number, because it can be changed into a prime (8067077047) by changing a digit.

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, 5709 + ... + 127148.

Almost surely, 2^8067077040 is an apocalyptic number.

8067077040 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 8067077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233874688).

8067077040 is an abundant number, since it is smaller than the sum of its proper divisors (20400672336).

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

8067077040 is a wasteful number, since it uses less digits than its factorization.

8067077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132907 (or 132901 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 8067077040 is about 89816.9084304286. The cubic root of 8067077040 is about 2005.5742030303.

The spelling of 8067077040 in words is "eight billion, sixty-seven million, seventy-seven thousand, forty".