752663340 has 504 divisors, whose sum is σ = 2938351248. Its totient is φ = 159563520.

The previous prime is 752663273. The next prime is 752663369. The reversal of 752663340 is 43366257.

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 = 752663295 and 752663304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 39613851 + ... + 39613869.

It is an arithmetic number, because the mean of its divisors is an integer number (5830062).

Almost surely, 2^752663340 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 752663340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469175624).

752663340 is an abundant number, since it is smaller than the sum of its proper divisors (2185687908).

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

752663340 is a wasteful number, since it uses less digits than its factorization.

752663340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 752663340 is about 27434.7104960122. The cubic root of 752663340 is about 909.6344947619.

It can be divided in two parts, 75266 and 3340, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 752663340 in words is "seven hundred fifty-two million, six hundred sixty-three thousand, three hundred forty".