735482320 has 80 divisors (see below), whose sum is σ = 1787385600. Its totient is φ = 281175552.

The previous prime is 735482299. The next prime is 735482351. The reversal of 735482320 is 23284537.

735482320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159406 + ... + 163954.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^735482320 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 735482320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

735482320 is an abundant number, since it is smaller than the sum of its proper divisors (1051903280).

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

735482320 is a wasteful number, since it uses less digits than its factorization.

735482320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 735482320 is about 27119.7772852212. Note that the first 3 decimals coincide. The cubic root of 735482320 is about 902.6597533362.

The spelling of 735482320 in words is "seven hundred thirty-five million, four hundred eighty-two thousand, three hundred twenty".