736980 has 48 divisors (see below), whose sum is σ = 2104704. Its totient is φ = 192640.

The previous prime is 736973. The next prime is 736987. The reversal of 736980 is 89637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (736973) and next prime (736987).

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 736980.

It is not an unprimeable number, because it can be changed into a prime (736987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4174 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2⁷³⁶⁹⁸⁰ 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 736980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052352).

736980 is an abundant number, since it is smaller than the sum of its proper divisors (1367724).

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

736980 is a wasteful number, since it uses less digits than its factorization.

736980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 736980 is about 858.4753927749. The cubic root of 736980 is about 90.3272040370.

The spelling of 736980 in words is "seven hundred thirty-six thousand, nine hundred eighty".