755628720 has 320 divisors, whose sum is σ = 3016949760. Its totient is φ = 151833600.

The previous prime is 755628707. The next prime is 755628787. The reversal of 755628720 is 27826557.

755628720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572221 + ... + 573539.

It is an arithmetic number, because the mean of its divisors is an integer number (9427968).

Almost surely, 2^755628720 is an apocalyptic number.

755628720 is a gapful number since it is divisible by the number (70) 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 755628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508474880).

755628720 is an abundant number, since it is smaller than the sum of its proper divisors (2261321040).

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

755628720 is a wasteful number, since it uses less digits than its factorization.

755628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 755628720 is about 27488.7016790535. The cubic root of 755628720 is about 910.8275368845.

The spelling of 755628720 in words is "seven hundred fifty-five million, six hundred twenty-eight thousand, seven hundred twenty".