8725309200 has 480 divisors, whose sum is σ = 33092227200. Its totient is φ = 2177280000.

The previous prime is 8725309193. The next prime is 8725309217. The reversal of 8725309200 is 29035278.

It is a happy number.

It is a super-2 number, since 2×8725309200² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 20724990 + ... + 20725410.

It is an arithmetic number, because the mean of its divisors is an integer number (68942140).

Almost surely, 2^8725309200 is an apocalyptic number.

8725309200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8725309200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546113600).

8725309200 is an abundant number, since it is smaller than the sum of its proper divisors (24366918000).

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

8725309200 is a wasteful number, since it uses less digits than its factorization.

8725309200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8725309200 is about 93409.3635563373. The cubic root of 8725309200 is about 2058.7025795229.

The spelling of 8725309200 in words is "eight billion, seven hundred twenty-five million, three hundred nine thousand, two hundred".