752830720 has 144 divisors (see below), whose sum is σ = 1976834160. Its totient is φ = 273416192.

The previous prime is 752830649. The next prime is 752830721. The reversal of 752830720 is 27038257.

It can be written as a sum of positive squares in 8 ways, for example, as 6885376 + 745945344 = 2624^2 + 27312^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (752830721) 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, 630444 + ... + 631636.

It is an arithmetic number, because the mean of its divisors is an integer number (13728015).

Almost surely, 2^752830720 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 752830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988417080).

752830720 is an abundant number, since it is smaller than the sum of its proper divisors (1224003440).

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

752830720 is a wasteful number, since it uses less digits than its factorization.

752830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 752830720 is about 27437.7608415847. The cubic root of 752830720 is about 909.7019190355.

Adding to 752830720 its reverse (27038257), we get a palindrome (779868977).

The spelling of 752830720 in words is "seven hundred fifty-two million, eight hundred thirty thousand, seven hundred twenty".