7280080080400 has 120 divisors (see below), whose sum is σ = 17672564280320. Its totient is φ = 2881817326080.

The previous prime is 7280080080391. The next prime is 7280080080439. The reversal of 7280080080400 is 40800800827.

It is a self number, because there is not a number n which added to its sum of digits gives 7280080080400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19987111 + ... + 20348089.

Almost surely, 2^{7280080080400} 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 7280080080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8836282140160).

7280080080400 is an abundant number, since it is smaller than the sum of its proper divisors (10392484199920).

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

7280080080400 is a wasteful number, since it uses less digits than its factorization.

7280080080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361521 (or 361510 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 7280080080400 in words is "seven trillion, two hundred eighty billion, eighty million, eighty thousand, four hundred".