753228000 has 576 divisors, whose sum is σ = 3168547200. Its totient is φ = 169344000.

The previous prime is 753227977. The next prime is 753228017. The reversal of 753228000 is 822357.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12347970 + ... + 12348030.

It is an arithmetic number, because the mean of its divisors is an integer number (5500950).

Almost surely, 2^753228000 is an apocalyptic number.

753228000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

753228000 is an abundant number, since it is smaller than the sum of its proper divisors (2415319200).

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

753228000 is a wasteful number, since it uses less digits than its factorization.

753228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 753228000 is about 27444.9995445436. Note that the first 3 decimals coincide. The cubic root of 753228000 is about 909.8619119857.

The spelling of 753228000 in words is "seven hundred fifty-three million, two hundred twenty-eight thousand".