755225600 has 66 divisors (see below), whose sum is σ = 1872108414. Its totient is φ = 302080000.

The previous prime is 755225599. The next prime is 755225621. The reversal of 755225600 is 6522557.

It can be written as a sum of positive squares in 3 ways, for example, as 29246464 + 725979136 = 5408^2 + 26944^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10850 + ... + 40350.

It is an arithmetic number, because the mean of its divisors is an integer number (28365279).

Almost surely, 2^755225600 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 755225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936054207).

755225600 is an abundant number, since it is smaller than the sum of its proper divisors (1116882814).

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

755225600 is a wasteful number, since it uses less digits than its factorization.

755225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29531 (or 29508 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 755225600 is about 27481.3682337689. The cubic root of 755225600 is about 910.6655357585.

The spelling of 755225600 in words is "seven hundred fifty-five million, two hundred twenty-five thousand, six hundred".