735280 has 80 divisors (see below), whose sum is σ = 2124864. Its totient is φ = 230400.

The previous prime is 735271. The next prime is 735283. The reversal of 735280 is 82537.

735280 = 26² + 27² + ... + 130².

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (735283) 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, 7230 + ... + 7330.

2⁷³⁵²⁸⁰ is an apocalyptic number.

735280 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 735280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432).

735280 is an abundant number, since it is smaller than the sum of its proper divisors (1389584).

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

735280 is a wasteful number, since it uses less digits than its factorization.

735280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 735280 is about 857.4846937409. The cubic root of 735280 is about 90.2576976422.

The spelling of 735280 in words is "seven hundred thirty-five thousand, two hundred eighty".