746580 has 48 divisors (see below), whose sum is σ = 2185344. Its totient is φ = 190080.

The previous prime is 746563. The next prime is 746597. The reversal of 746580 is 85647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (746563) and next prime (746597).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110 + ... + 1650.

It is an arithmetic number, because the mean of its divisors is an integer number (45528).

2⁷⁴⁶⁵⁸⁰ 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 746580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092672).

746580 is an abundant number, since it is smaller than the sum of its proper divisors (1438764).

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

746580 is a wasteful number, since it uses less digits than its factorization.

746580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 746580 is about 864.0486097437. The cubic root of 746580 is about 90.7177180294.

It can be divided in two parts, 746 and 580, that added together give a triangular number (1326 = T₅₁).

The spelling of 746580 in words is "seven hundred forty-six thousand, five hundred eighty".