753714720 has 480 divisors, whose sum is σ = 3082375296. Its totient is φ = 171417600.

The previous prime is 753714697. The next prime is 753714751. The reversal of 753714720 is 27417357.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 2423365 + ... + 2423675.

Almost surely, 2^753714720 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 753714720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541187648).

753714720 is an abundant number, since it is smaller than the sum of its proper divisors (2328660576).

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

753714720 is a wasteful number, since it uses less digits than its factorization.

753714720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 753714720 is about 27453.8653016292. The cubic root of 753714720 is about 910.0578476288.

The spelling of 753714720 in words is "seven hundred fifty-three million, seven hundred fourteen thousand, seven hundred twenty".