742008 has 32 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 241248.

The previous prime is 741991. The next prime is 742009. The reversal of 742008 is 800247.

It is a happy number.

742008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742009) by changing a digit.

742008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁷⁴²⁰⁰⁸ 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 742008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

742008 is an abundant number, since it is smaller than the sum of its proper divisors (1158792).

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

742008 is a wasteful number, since it uses less digits than its factorization.

742008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 742008 is about 861.3988623164. The cubic root of 742008 is about 90.5321558860.

The spelling of 742008 in words is "seven hundred forty-two thousand, eight".