736880 has 40 divisors (see below), whose sum is σ = 1752864. Its totient is φ = 288000.

The previous prime is 736871. The next prime is 736889. The reversal of 736880 is 88637.

It is an interprime number because it is at equal distance from previous prime (736871) and next prime (736889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736889) by changing a digit.

736880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4805 + ... + 4955.

2⁷³⁶⁸⁸⁰ 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 736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876432).

736880 is an abundant number, since it is smaller than the sum of its proper divisors (1015984).

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

736880 is a wasteful number, since it uses less digits than its factorization.

736880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 736880 is about 858.4171480114. The cubic root of 736880 is about 90.3231183861.

The spelling of 736880 in words is "seven hundred thirty-six thousand, eight hundred eighty".