742806288 has 240 divisors, whose sum is σ = 2518588800. Its totient is φ = 211849344.

The previous prime is 742806277. The next prime is 742806353. The reversal of 742806288 is 882608247.

It is a happy number.

It is a super-2 number, since 2×742806288² = 1103522362984677888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333306 + ... + 1333862.

It is an arithmetic number, because the mean of its divisors is an integer number (10494120).

Almost surely, 2^742806288 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 742806288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259294400).

742806288 is an abundant number, since it is smaller than the sum of its proper divisors (1775782512).

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

742806288 is an equidigital number, since it uses as much as digits as its factorization.

742806288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 742806288 is about 27254.4728072293. The cubic root of 742806288 is about 905.6461053683.

The spelling of 742806288 in words is "seven hundred forty-two million, eight hundred six thousand, two hundred eighty-eight".