735080160 has 96 divisors (see below), whose sum is σ = 2324518560. Its totient is φ = 195258368.

The previous prime is 735080149. The next prime is 735080167. The reversal of 735080160 is 61080537.

735080160 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735080167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126274 + ... + 131966.

It is an arithmetic number, because the mean of its divisors is an integer number (24213735).

Almost surely, 2^735080160 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 735080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162259280).

735080160 is an abundant number, since it is smaller than the sum of its proper divisors (1589438400).

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

735080160 is a wasteful number, since it uses less digits than its factorization.

735080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 735080160 is about 27112.3617562174. The cubic root of 735080160 is about 902.4951992644.

The spelling of 735080160 in words is "seven hundred thirty-five million, eighty thousand, one hundred sixty".