8040890880 has 240 divisors, whose sum is σ = 30380448384. Its totient is φ = 1949245440.

The previous prime is 8040890867. The next prime is 8040890903. The reversal of 8040890880 is 880980408.

8040890880 is a `hidden beast` number, since 80 + 408 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8040890880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237577 + ... + 269303.

Almost surely, 2^8040890880 is an apocalyptic number.

8040890880 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 8040890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190224192).

8040890880 is an abundant number, since it is smaller than the sum of its proper divisors (22339557504).

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

8040890880 is a wasteful number, since it uses less digits than its factorization.

8040890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31767 (or 31748 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8040890880 is about 89671.0147149010. The cubic root of 8040890880 is about 2003.4017839857.

The spelling of 8040890880 in words is "eight billion, forty million, eight hundred ninety thousand, eight hundred eighty".