730080 has 144 divisors (see below), whose sum is σ = 2766960. Its totient is φ = 179712.

The previous prime is 730069. The next prime is 730091. The reversal of 730080 is 80037.

730080 = 29³ + 30³ + ... + 43³.

It is an interprime number because it is at equal distance from previous prime (730069) and next prime (730091).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56154 + ... + 56166.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2⁷³⁰⁰⁸⁰ 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 730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383480).

730080 is an abundant number, since it is smaller than the sum of its proper divisors (2036880).

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

730080 is a wasteful number, since it uses less digits than its factorization.

730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 730080 is about 854.4471897081. The cubic root of 730080 is about 90.0444225146.

The spelling of 730080 in words is "seven hundred thirty thousand, eighty".