731980800 has 330 divisors, whose sum is σ = 2718117138. Its totient is φ = 194641920.

The previous prime is 731980789. The next prime is 731980807. The reversal of 731980800 is 8089137.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 702038016 = 5472^2 + 26496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731980807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073424 + ... + 2073776.

Almost surely, 2^731980800 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 731980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359058569).

731980800 is an abundant number, since it is smaller than the sum of its proper divisors (1986136338).

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

731980800 is a wasteful number, since it uses less digits than its factorization.

731980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 731980800 is about 27055.1436884005. The cubic root of 731980800 is about 901.2249985530.

The spelling of 731980800 in words is "seven hundred thirty-one million, nine hundred eighty thousand, eight hundred".