755616 has 48 divisors (see below), whose sum is σ = 2104704. Its totient is φ = 236544.

The previous prime is 755597. The next prime is 755617. The reversal of 755616 is 616557.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755616.

It is not an unprimeable number, because it can be changed into a prime (755617) by changing a digit.

755616 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 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2⁷⁵⁵⁶¹⁶ 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 755616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052352).

755616 is an abundant number, since it is smaller than the sum of its proper divisors (1349088).

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

755616 is a wasteful number, since it uses less digits than its factorization.

755616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 755616 is about 869.2617557445. The cubic root of 755616 is about 91.0822426001.

The spelling of 755616 in words is "seven hundred fifty-five thousand, six hundred sixteen".