735135080 has 96 divisors (see below), whose sum is σ = 1850104800. Its totient is φ = 262112256.

The previous prime is 735135077. The next prime is 735135091. The reversal of 735135080 is 80531537.

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, 217967 + ... + 221313.

It is an arithmetic number, because the mean of its divisors is an integer number (19271925).

Almost surely, 2^735135080 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 735135080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925052400).

735135080 is an abundant number, since it is smaller than the sum of its proper divisors (1114969720).

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

735135080 is a wasteful number, since it uses less digits than its factorization.

735135080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 735135080 is about 27113.3745594310. The cubic root of 735135080 is about 902.5176747280.

The spelling of 735135080 in words is "seven hundred thirty-five million, one hundred thirty-five thousand, eighty".