731125080 has 384 divisors, whose sum is σ = 2875392000. Its totient is φ = 160876800.

The previous prime is 731125051. The next prime is 731125093. The reversal of 731125080 is 80521137.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3827785 + ... + 3827975.

It is an arithmetic number, because the mean of its divisors is an integer number (7488000).

Almost surely, 2^731125080 is an apocalyptic number.

731125080 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 731125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437696000).

731125080 is an abundant number, since it is smaller than the sum of its proper divisors (2144266920).

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

731125080 is a wasteful number, since it uses less digits than its factorization.

731125080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 731125080 is about 27039.3246957094. The cubic root of 731125080 is about 900.8736701335.

The spelling of 731125080 in words is "seven hundred thirty-one million, one hundred twenty-five thousand, eighty".