80202675240 has 192 divisors, whose sum is σ = 263527664400. Its totient is φ = 21152710656.

The previous prime is 80202675197. The next prime is 80202675247. The reversal of 80202675240 is 4257620208.

It can be written as a sum of positive squares in 8 ways, for example, as 50708734596 + 29493940644 = 225186^2 + 171738^2 .

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 = 80202675195 and 80202675204.

It is not an unprimeable number, because it can be changed into a prime (80202675247) 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 47 ways as a sum of consecutive naturals, for example, 26407002 + ... + 26410038.

Almost surely, 2^80202675240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80202675240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131763832200).

80202675240 is an abundant number, since it is smaller than the sum of its proper divisors (183324989160).

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

80202675240 is a wasteful number, since it uses less digits than its factorization.

80202675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 80202675240 in words is "eighty billion, two hundred two million, six hundred seventy-five thousand, two hundred forty".