742867200 has 270 divisors, whose sum is σ = 2748635274. Its totient is φ = 197959680.

The previous prime is 742867163. The next prime is 742867243. The reversal of 742867200 is 2768247.

It can be written as a sum of positive squares in 3 ways, for example, as 129413376 + 613453824 = 11376^2 + 24768^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517684 + ... + 519116.

Almost surely, 2^742867200 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 742867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374317637).

742867200 is an abundant number, since it is smaller than the sum of its proper divisors (2005768074).

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

742867200 is a wasteful number, since it uses less digits than its factorization.

742867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 742867200 is about 27255.5902522767. The cubic root of 742867200 is about 905.6708597843.

The spelling of 742867200 in words is "seven hundred forty-two million, eight hundred sixty-seven thousand, two hundred".