8080208640 has 432 divisors, whose sum is σ = 32311126848. Its totient is φ = 1826095104.

The previous prime is 8080208611. The next prime is 8080208659. The reversal of 8080208640 is 468020808.

8080208640 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 2 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 8080208595 and 8080208604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7821564 + ... + 7822596.

Almost surely, 2^8080208640 is an apocalyptic number.

8080208640 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 8080208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155563424).

8080208640 is an abundant number, since it is smaller than the sum of its proper divisors (24230918208).

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

8080208640 is a wasteful number, since it uses less digits than its factorization.

8080208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8080208640 is about 89889.9807542531. The cubic root of 8080208640 is about 2006.6618386485.

The spelling of 8080208640 in words is "eight billion, eighty million, two hundred eight thousand, six hundred forty".