742065600 has 168 divisors, whose sum is σ = 2513632768. Its totient is φ = 191462400.

The previous prime is 742065587. The next prime is 742065619. The reversal of 742065600 is 6560247.

It is a super-2 number, since 2×742065600² = 1101322709406720000, which contains 22 as substring.

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

It is a congruent number.

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, 146307 + ... + 151293.

Almost surely, 2^742065600 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 742065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256816384).

742065600 is an abundant number, since it is smaller than the sum of its proper divisors (1771567168).

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

742065600 is a wasteful number, since it uses less digits than its factorization.

742065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 742065600 is about 27240.8810430206. The cubic root of 742065600 is about 905.3449841115.

The spelling of 742065600 in words is "seven hundred forty-two million, sixty-five thousand, six hundred".