742824 has 64 divisors (see below), whose sum is σ = 2184000. Its totient is φ = 233280.

The previous prime is 742817. The next prime is 742891. The reversal of 742824 is 428247.

742824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014 + ... + 4194.

It is an arithmetic number, because the mean of its divisors is an integer number (34125).

2⁷⁴²⁸²⁴ 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 742824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092000).

742824 is an abundant number, since it is smaller than the sum of its proper divisors (1441176).

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

742824 is a wasteful number, since it uses less digits than its factorization.

742824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 742824 is about 861.8723803441. The cubic root of 742824 is about 90.5653303600.

The spelling of 742824 in words is "seven hundred forty-two thousand, eight hundred twenty-four".