742845312 has 288 divisors, whose sum is σ = 2449095480. Its totient is φ = 214272000.

The previous prime is 742845247. The next prime is 742845319. The reversal of 742845312 is 213548247.

It is a happy number.

742845312 is a `hidden beast` number, since 7 + 42 + 84 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742845319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12177762 + ... + 12177822.

Almost surely, 2^742845312 is an apocalyptic number.

742845312 is a gapful number since it is divisible by the number (72) 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 742845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224547740).

742845312 is an abundant number, since it is smaller than the sum of its proper divisors (1706250168).

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

742845312 is a wasteful number, since it uses less digits than its factorization.

742845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 742845312 is about 27255.1887170131. The cubic root of 742845312 is about 905.6619647362.

The spelling of 742845312 in words is "seven hundred forty-two million, eight hundred forty-five thousand, three hundred twelve".