753205068 has 360 divisors, whose sum is σ = 2641826880. Its totient is φ = 184524480.

The previous prime is 753205051. The next prime is 753205069. The reversal of 753205068 is 860502357.

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

It is not an unprimeable number, because it can be changed into a prime (753205069) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3317971 + ... + 3318197.

It is an arithmetic number, because the mean of its divisors is an integer number (7338408).

Almost surely, 2^753205068 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 753205068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320913440).

753205068 is an abundant number, since it is smaller than the sum of its proper divisors (1888621812).

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

753205068 is a wasteful number, since it uses less digits than its factorization.

753205068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 753205068 is about 27444.5817603402. The cubic root of 753205068 is about 909.8526783207.

The spelling of 753205068 in words is "seven hundred fifty-three million, two hundred five thousand, sixty-eight".