7125580800 has 792 divisors, whose sum is σ = 28799324880. Its totient is φ = 1725235200.

The previous prime is 7125580729. The next prime is 7125580823. The reversal of 7125580800 is 80855217.

7125580800 is a `hidden beast` number, since 71 + 2 + 5 + 580 + 8 + 0 + 0 = 666.

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

It is a congruent number.

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, 116812770 + ... + 116812830.

Almost surely, 2^7125580800 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 7125580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399662440).

7125580800 is an abundant number, since it is smaller than the sum of its proper divisors (21673744080).

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

7125580800 is a wasteful number, since it uses less digits than its factorization.

7125580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 7125580800 is about 84413.1553728446. The cubic root of 7125580800 is about 1924.3028498191.

The spelling of 7125580800 in words is "seven billion, one hundred twenty-five million, five hundred eighty thousand, eight hundred".