752747040 has 192 divisors, whose sum is σ = 2653257600. Its totient is φ = 199314432.

The previous prime is 752747011. The next prime is 752747057. The reversal of 752747040 is 40747257.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 752746986 and 752747004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703626 + ... + 704694.

It is an arithmetic number, because the mean of its divisors is an integer number (13819050).

Almost surely, 2^752747040 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 752747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326628800).

752747040 is an abundant number, since it is smaller than the sum of its proper divisors (1900510560).

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

752747040 is a wasteful number, since it uses less digits than its factorization.

752747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 752747040 is about 27436.2358934312. The cubic root of 752747040 is about 909.6682121763.

The spelling of 752747040 in words is "seven hundred fifty-two million, seven hundred forty-seven thousand, forty".