755285020 has 72 divisors (see below), whose sum is σ = 1849278816. Its totient is φ = 258362496.

The previous prime is 755284991. The next prime is 755285029. The reversal of 755285020 is 20582557.

It is a super-2 number, since 2×755285020² = 1140910922872800800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755285029) 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 23 ways as a sum of consecutive naturals, for example, 780577 + ... + 781543.

It is an arithmetic number, because the mean of its divisors is an integer number (25684428).

Almost surely, 2^755285020 is an apocalyptic number.

755285020 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 755285020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924639408).

755285020 is an abundant number, since it is smaller than the sum of its proper divisors (1093993796).

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

755285020 is a wasteful number, since it uses less digits than its factorization.

755285020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 755285020 is about 27482.4493086042. The cubic root of 755285020 is about 910.6894183913.

The spelling of 755285020 in words is "seven hundred fifty-five million, two hundred eighty-five thousand, twenty".