742784 has 32 divisors (see below), whose sum is σ = 1693200. Its totient is φ = 317952.

The previous prime is 742783. The next prime is 742789. The reversal of 742784 is 487247.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 742784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482 + ... + 1310.

2⁷⁴²⁷⁸⁴ 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 742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846600).

742784 is an abundant number, since it is smaller than the sum of its proper divisors (950416).

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

742784 is an equidigital number, since it uses as much as digits as its factorization.

742784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 742784 is about 861.8491747400. The cubic root of 742784 is about 90.5637047268.

The spelling of 742784 in words is "seven hundred forty-two thousand, seven hundred eighty-four".