755209728 has 240 divisors, whose sum is σ = 2684057376. Its totient is φ = 199065600.

The previous prime is 755209727. The next prime is 755209757. The reversal of 755209728 is 827902557.

It is a happy number.

755209728 is a `hidden beast` number, since 7 + 552 + 0 + 97 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755209727) 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, 418428 + ... + 420228.

Almost surely, 2^755209728 is an apocalyptic number.

755209728 is a gapful number since it is divisible by the number (78) 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 755209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342028688).

755209728 is an abundant number, since it is smaller than the sum of its proper divisors (1928847648).

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

755209728 is a wasteful number, since it uses less digits than its factorization.

755209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 755209728 is about 27481.0794547812. The cubic root of 755209728 is about 910.6591561263.

The spelling of 755209728 in words is "seven hundred fifty-five million, two hundred nine thousand, seven hundred twenty-eight".