758480 has 40 divisors (see below), whose sum is σ = 1860000. Its totient is φ = 286848.

The previous prime is 758453. The next prime is 758491. The reversal of 758480 is 84857.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 758480.

It is an unprimeable number.

758480 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, 1271 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

2⁷⁵⁸⁴⁸⁰ 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 758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930000).

758480 is an abundant number, since it is smaller than the sum of its proper divisors (1101520).

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

758480 is a wasteful number, since it uses less digits than its factorization.

758480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 758480 is about 870.9075725931. The cubic root of 758480 is about 91.1971734017.

The spelling of 758480 in words is "seven hundred fifty-eight thousand, four hundred eighty".