755396928 has 280 divisors, whose sum is σ = 2633289120. Its totient is φ = 211092480.

The previous prime is 755396897. The next prime is 755397007. The reversal of 755396928 is 829693557.

755396928 is a `hidden beast` number, since 7 + 553 + 9 + 69 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 740803 + ... + 741821.

It is an arithmetic number, because the mean of its divisors is an integer number (9404604).

Almost surely, 2^755396928 is an apocalyptic number.

755396928 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 755396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316644560).

755396928 is an abundant number, since it is smaller than the sum of its proper divisors (1877892192).

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

755396928 is a wasteful number, since it uses less digits than its factorization.

755396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1048 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 755396928 is about 27484.4852234856. The cubic root of 755396928 is about 910.7343940829.

The spelling of 755396928 in words is "seven hundred fifty-five million, three hundred ninety-six thousand, nine hundred twenty-eight".