742705200 has 270 divisors, whose sum is σ = 2685845084. Its totient is φ = 197354880.

The previous prime is 742705177. The next prime is 742705241. The reversal of 742705200 is 2507247.

742705200 is a `hidden beast` number, since 74 + 2 + 70 + 520 + 0 = 666.

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

It is a super-2 number, since 2×742705200² = 1103222028214080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624259 + ... + 2624541.

Almost surely, 2^742705200 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 742705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342922542).

742705200 is an abundant number, since it is smaller than the sum of its proper divisors (1943139884).

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

742705200 is an equidigital number, since it uses as much as digits as its factorization.

742705200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 742705200 is about 27252.6182228424. The cubic root of 742705200 is about 905.6050205847.

The spelling of 742705200 in words is "seven hundred forty-two million, seven hundred five thousand, two hundred".