753604560 has 200 divisors, whose sum is σ = 2771748936. Its totient is φ = 189112320.

The previous prime is 753604549. The next prime is 753604561. The reversal of 753604560 is 65406357.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 509495184 = 15624^2 + 22572^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753604561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106740 + ... + 113580.

Almost surely, 2^753604560 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 753604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385874468).

753604560 is an abundant number, since it is smaller than the sum of its proper divisors (2018144376).

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

753604560 is a wasteful number, since it uses less digits than its factorization.

753604560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 753604560 is about 27451.8589534479. The cubic root of 753604560 is about 910.0135086350.

The spelling of 753604560 in words is "seven hundred fifty-three million, six hundred four thousand, five hundred sixty".