755580 has 72 divisors (see below), whose sum is σ = 2470608. Its totient is φ = 172032.

The previous prime is 755569. The next prime is 755593. The reversal of 755580 is 85557.

It is a happy number.

It is a super-3 number, since 3×755580³ = 1294084441923336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

755580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2812 + ... + 3068.

It is an arithmetic number, because the mean of its divisors is an integer number (34314).

2⁷⁵⁵⁵⁸⁰ is an apocalyptic number.

755580 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 755580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235304).

755580 is an abundant number, since it is smaller than the sum of its proper divisors (1715028).

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

755580 is a wasteful number, since it uses less digits than its factorization.

755580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 755580 is about 869.2410482714. The cubic root of 755580 is about 91.0807960925.

The spelling of 755580 in words is "seven hundred fifty-five thousand, five hundred eighty".