7280025600 has 504 divisors, whose sum is σ = 26194057848. Its totient is φ = 1782579200.

The previous prime is 7280025593. The next prime is 7280025659. The reversal of 7280025600 is 65200827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177561580 + ... + 177561620.

It is an arithmetic number, because the mean of its divisors is an integer number (51972337).

Almost surely, 2^7280025600 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 7280025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097028924).

7280025600 is an abundant number, since it is smaller than the sum of its proper divisors (18914032248).

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

7280025600 is a wasteful number, since it uses less digits than its factorization.

7280025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7280025600 is about 85323.0660489882. The cubic root of 7280025600 is about 1938.1064884545.

The spelling of 7280025600 in words is "seven billion, two hundred eighty million, twenty-five thousand, six hundred".