8080309440 has 896 divisors, whose sum is σ = 35815219200. Its totient is φ = 1672151040.

The previous prime is 8080309427. The next prime is 8080309453. The reversal of 8080309440 is 449030808.

It is an interprime number because it is at equal distance from previous prime (8080309427) and next prime (8080309453).

It is a super-2 number, since 2×8080309440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8080309395 and 8080309404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29816505 + ... + 29816775.

Almost surely, 2^8080309440 is an apocalyptic number.

8080309440 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 8080309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907609600).

8080309440 is an abundant number, since it is smaller than the sum of its proper divisors (27734909760).

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

8080309440 is a wasteful number, since it uses less digits than its factorization.

8080309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8080309440 is about 89890.5414379066. The cubic root of 8080309440 is about 2006.6701829327.

The spelling of 8080309440 in words is "eight billion, eighty million, three hundred nine thousand, four hundred forty".