746880 has 64 divisors (see below), whose sum is σ = 2386800. Its totient is φ = 198656.

The previous prime is 746873. The next prime is 746891. The reversal of 746880 is 88647.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

746880 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, 1726 + ... + 2114.

2⁷⁴⁶⁸⁸⁰ 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 746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193400).

746880 is an abundant number, since it is smaller than the sum of its proper divisors (1639920).

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

746880 is a wasteful number, since it uses less digits than its factorization.

746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 746880 is about 864.2221936516. Note that the first 3 decimals coincide. The cubic root of 746880 is about 90.7298675069.

The spelling of 746880 in words is "seven hundred forty-six thousand, eight hundred eighty".