755560480 has 48 divisors (see below), whose sum is σ = 1798093080. Its totient is φ = 300009472.

The previous prime is 755560471. The next prime is 755560483. The reversal of 755560480 is 84065557.

It can be written as a sum of positive squares in 4 ways, for example, as 658025104 + 97535376 = 25652^2 + 9876^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (755560483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4686 + ... + 39154.

Almost surely, 2^755560480 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 755560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899046540).

755560480 is an abundant number, since it is smaller than the sum of its proper divisors (1042532600).

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

755560480 is a wasteful number, since it uses less digits than its factorization.

755560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34621 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 755560480 is about 27487.4604137960. The cubic root of 755560480 is about 910.8001174475.

The spelling of 755560480 in words is "seven hundred fifty-five million, five hundred sixty thousand, four hundred eighty".