731566080 has 546 divisors, whose sum is σ = 3061844946. Its totient is φ = 167215104.

The previous prime is 731566079. The next prime is 731566091. The reversal of 731566080 is 80665137.

It can be written as a sum of positive squares in only one way, i.e., 585252864 + 146313216 = 24192^2 + 12096^2 .

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

It is a congruent number.

It is an unprimeable 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 41 ways as a sum of consecutive naturals, for example, 104509437 + ... + 104509443.

Almost surely, 2^731566080 is an apocalyptic number.

731566080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530922473).

731566080 is an abundant number, since it is smaller than the sum of its proper divisors (2330278866).

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

731566080 is an frugal number, since it uses more digits than its factorization.

731566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 731566080 is about 27047.4782558375. The cubic root of 731566080 is about 901.0547633773.

The spelling of 731566080 in words is "seven hundred thirty-one million, five hundred sixty-six thousand, eighty".