752563900 has 72 divisors (see below), whose sum is σ = 1795885056. Its totient is φ = 271454400.

The previous prime is 752563883. The next prime is 752563909. The reversal of 752563900 is 9365257.

752563900 = 2371² + 2372² + ... + 2497².

It is a self number, because there is not a number n which added to its sum of digits gives 752563900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752563909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137007 + ... + 142393.

It is an arithmetic number, because the mean of its divisors is an integer number (24942848).

Almost surely, 2^752563900 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 752563900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897942528).

752563900 is an abundant number, since it is smaller than the sum of its proper divisors (1043321156).

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

752563900 is a wasteful number, since it uses less digits than its factorization.

752563900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 752563900 is about 27432.8981334455. The cubic root of 752563900 is about 909.5944334520.

The spelling of 752563900 in words is "seven hundred fifty-two million, five hundred sixty-three thousand, nine hundred".