7745200128 has 336 divisors, whose sum is σ = 24468338160. Its totient is φ = 2420637696.

The previous prime is 7745200123. The next prime is 7745200207. The reversal of 7745200128 is 8210025477.

7745200128 is a `hidden beast` number, since 7 + 7 + 4 + 520 + 0 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7745200092 and 7745200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7745200123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79847376 + ... + 79847472.

It is an arithmetic number, because the mean of its divisors is an integer number (72822435).

Almost surely, 2^7745200128 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 7745200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234169080).

7745200128 is an abundant number, since it is smaller than the sum of its proper divisors (16723138032).

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

7745200128 is an equidigital number, since it uses as much as digits as its factorization.

7745200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 7745200128 is about 88006.8186449209. The cubic root of 7745200128 is about 1978.5371748101.

The spelling of 7745200128 in words is "seven billion, seven hundred forty-five million, two hundred thousand, one hundred twenty-eight".