753425280 has 256 divisors, whose sum is σ = 2717280000. Its totient is φ = 197240832.

The previous prime is 753425203. The next prime is 753425359. The reversal of 753425280 is 82524357.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1019151 + ... + 1019889.

It is an arithmetic number, because the mean of its divisors is an integer number (10614375).

Almost surely, 2^753425280 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 753425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358640000).

753425280 is an abundant number, since it is smaller than the sum of its proper divisors (1963854720).

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

753425280 is a wasteful number, since it uses less digits than its factorization.

753425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 753425280 is about 27448.5934065846. The cubic root of 753425280 is about 909.9413398568.

The spelling of 753425280 in words is "seven hundred fifty-three million, four hundred twenty-five thousand, two hundred eighty".