755083120 has 160 divisors (see below), whose sum is σ = 2005585920. Its totient is φ = 261888000.

The previous prime is 755083097. The next prime is 755083127. The reversal of 755083120 is 21380557.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755083127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427765 + ... + 2428075.

It is an arithmetic number, because the mean of its divisors is an integer number (12534912).

Almost surely, 2^755083120 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 755083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

755083120 is an abundant number, since it is smaller than the sum of its proper divisors (1250502800).

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

755083120 is a wasteful number, since it uses less digits than its factorization.

755083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 755083120 is about 27478.7758097045. The cubic root of 755083120 is about 910.6082637831.

The spelling of 755083120 in words is "seven hundred fifty-five million, eighty-three thousand, one hundred twenty".