731880 has 96 divisors (see below), whose sum is σ = 2527200. Its totient is φ = 183168.

The previous prime is 731869. The next prime is 731881. The reversal of 731880 is 88137.

731880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (731881) by changing a digit.

731880 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 23 ways as a sum of consecutive naturals, for example, 6787 + ... + 6893.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2⁷³¹⁸⁸⁰ is an apocalyptic number.

It is a pronic number, being equal to 855×856.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263600).

731880 is an abundant number, since it is smaller than the sum of its proper divisors (1795320).

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

731880 is a wasteful number, since it uses less digits than its factorization.

731880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 731880 is about 855.4998538866. The cubic root of 731880 is about 90.1183627864.

It can be divided in two parts, 73 and 1880, that added together give a triangular number (1953 = T₆₂).

The spelling of 731880 in words is "seven hundred thirty-one thousand, eight hundred eighty".