755780 has 48 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 274560.

The previous prime is 755771. The next prime is 755789. The reversal of 755780 is 87557.

It is an interprime number because it is at equal distance from previous prime (755771) and next prime (755789).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (755789) by changing a digit.

755780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14234 + ... + 14286.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁷⁵⁵⁷⁸⁰ 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 755780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

755780 is an abundant number, since it is smaller than the sum of its proper divisors (986044).

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

755780 is a wasteful number, since it uses less digits than its factorization.

755780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 755780 is about 869.3560835469. The cubic root of 755780 is about 91.0888316644.

The spelling of 755780 in words is "seven hundred fifty-five thousand, seven hundred eighty".