735840 has 144 divisors (see below), whose sum is σ = 2909088. Its totient is φ = 165888.

The previous prime is 735829. The next prime is 735853. The reversal of 735840 is 48537.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 10044 + ... + 10116.

It is an arithmetic number, because the mean of its divisors is an integer number (20202).

2⁷³⁵⁸⁴⁰ is an apocalyptic number.

735840 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 735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454544).

735840 is an abundant number, since it is smaller than the sum of its proper divisors (2173248).

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

735840 is a wasteful number, since it uses less digits than its factorization.

735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 735840 is about 857.8111680318. The cubic root of 735840 is about 90.2806056883.

The spelling of 735840 in words is "seven hundred thirty-five thousand, eight hundred forty".