755853120 has 420 divisors, whose sum is σ = 2967613572. Its totient is φ = 182476800.

The previous prime is 755853113. The next prime is 755853121. The reversal of 755853120 is 21358557.

755853120 is a `hidden beast` number, since 75 + 58 + 531 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 331822656 = 20592^2 + 18216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755853121) 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 59 ways as a sum of consecutive naturals, for example, 3136200 + ... + 3136440.

Almost surely, 2^755853120 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 755853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483806786).

755853120 is an abundant number, since it is smaller than the sum of its proper divisors (2211760452).

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

755853120 is a wasteful number, since it uses less digits than its factorization.

755853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 755853120 is about 27492.7830530123. The cubic root of 755853120 is about 910.9176911558.

The spelling of 755853120 in words is "seven hundred fifty-five million, eight hundred fifty-three thousand, one hundred twenty".