742866768 has 160 divisors (see below), whose sum is σ = 2453176320. Its totient is φ = 210833280.

The previous prime is 742866763. The next prime is 742866779. The reversal of 742866768 is 867668247.

742866768 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 (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742866763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504273 + ... + 505743.

It is an arithmetic number, because the mean of its divisors is an integer number (15332352).

Almost surely, 2^742866768 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 742866768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226588160).

742866768 is an abundant number, since it is smaller than the sum of its proper divisors (1710309552).

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

742866768 is a wasteful number, since it uses less digits than its factorization.

742866768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 742866768 is about 27255.5823272958. The cubic root of 742866768 is about 905.6706842259.

The spelling of 742866768 in words is "seven hundred forty-two million, eight hundred sixty-six thousand, seven hundred sixty-eight".