752675040 has 288 divisors, whose sum is σ = 2857510656. Its totient is φ = 179159040.

The previous prime is 752675039. The next prime is 752675057. The reversal of 752675040 is 40576257.

752675040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 752674986 and 752675004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579672 + ... + 580968.

It is an arithmetic number, because the mean of its divisors is an integer number (9921912).

Almost surely, 2^752675040 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 752675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428755328).

752675040 is an abundant number, since it is smaller than the sum of its proper divisors (2104835616).

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

752675040 is a wasteful number, since it uses less digits than its factorization.

752675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 752675040 is about 27434.9237287075. The cubic root of 752675040 is about 909.6392080991.

The spelling of 752675040 in words is "seven hundred fifty-two million, six hundred seventy-five thousand, forty".