752727864 has 128 divisors (see below), whose sum is σ = 2337177600. Its totient is φ = 197147520.

The previous prime is 752727839. The next prime is 752727869. The reversal of 752727864 is 468727257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752727869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95149 + ... + 102755.

It is an arithmetic number, because the mean of its divisors is an integer number (18259200).

Almost surely, 2^752727864 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 752727864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168588800).

752727864 is an abundant number, since it is smaller than the sum of its proper divisors (1584449736).

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

752727864 is a wasteful number, since it uses less digits than its factorization.

752727864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7669 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 752727864 is about 27435.8864263577. The cubic root of 752727864 is about 909.6604876044.

The spelling of 752727864 in words is "seven hundred fifty-two million, seven hundred twenty-seven thousand, eight hundred sixty-four".