753321280 has 112 divisors (see below), whose sum is σ = 1838821824. Its totient is φ = 293888000.

The previous prime is 753321251. The next prime is 753321287. The reversal of 753321280 is 82123357.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753321287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001155 + ... + 3001405.

It is an arithmetic number, because the mean of its divisors is an integer number (16418052).

Almost surely, 2^753321280 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 753321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919410912).

753321280 is an abundant number, since it is smaller than the sum of its proper divisors (1085500544).

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

753321280 is a wasteful number, since it uses less digits than its factorization.

753321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 753321280 is about 27446.6988907592. The cubic root of 753321280 is about 909.8994696336.

The spelling of 753321280 in words is "seven hundred fifty-three million, three hundred twenty-one thousand, two hundred eighty".