756080 has 40 divisors (see below), whose sum is σ = 1895712. Its totient is φ = 278784.

The previous prime is 756053. The next prime is 756097. The reversal of 756080 is 80657.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

756080 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, 677 + ... + 1403.

2⁷⁵⁶⁰⁸⁰ 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 756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856).

756080 is an abundant number, since it is smaller than the sum of its proper divisors (1139632).

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

756080 is a wasteful number, since it uses less digits than its factorization.

756080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 756080 is about 869.5286079250. The cubic root of 756080 is about 91.1008823646.

The spelling of 756080 in words is "seven hundred fifty-six thousand, eighty".