7080825600 has 648 divisors, whose sum is σ = 27331427760. Its totient is φ = 1811496960.

The previous prime is 7080825593. The next prime is 7080825617. The reversal of 7080825600 is 65280807.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45100722 + ... + 45100878.

Almost surely, 2^7080825600 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 7080825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665713880).

7080825600 is an abundant number, since it is smaller than the sum of its proper divisors (20250602160).

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

7080825600 is a wasteful number, since it uses less digits than its factorization.

7080825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7080825600 is about 84147.6416781837. The cubic root of 7080825600 is about 1920.2655882602.

The spelling of 7080825600 in words is "seven billion, eighty million, eight hundred twenty-five thousand, six hundred".