8040800967 has 8 divisors (see below), whose sum is σ = 10730935296. Its totient is φ = 5355600312.

The previous prime is 8040800941. The next prime is 8040801047. The reversal of 8040800967 is 7690080408.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8040800967 - 2⁷ = 8040800839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040800917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1229613 + ... + 1236134.

It is an arithmetic number, because the mean of its divisors is an integer number (1341366912).

Almost surely, 2^8040800967 is an apocalyptic number.

8040800967 is a deficient number, since it is larger than the sum of its proper divisors (2690134329).

8040800967 is a wasteful number, since it uses less digits than its factorization.

8040800967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466837.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8040800967 is about 89670.5133642046. The cubic root of 8040800967 is about 2003.3943166317.

The spelling of 8040800967 in words is "eight billion, forty million, eight hundred thousand, nine hundred sixty-seven".