742227600 has 120 divisors (see below), whose sum is σ = 2386847232. Its totient is φ = 197158400.

The previous prime is 742227589. The next prime is 742227623. The reversal of 742227600 is 6722247.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350545 + ... + 352655.

Almost surely, 2^742227600 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 742227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193423616).

742227600 is an abundant number, since it is smaller than the sum of its proper divisors (1644619632).

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

742227600 is a wasteful number, since it uses less digits than its factorization.

742227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 742227600 is about 27243.8543528628. The cubic root of 742227600 is about 905.4108611337.

Adding to 742227600 its reverse (6722247), we get a palindrome (748949847).

The spelling of 742227600 in words is "seven hundred forty-two million, two hundred twenty-seven thousand, six hundred".