755520480 has 384 divisors, whose sum is σ = 3109155840. Its totient is φ = 168929280.

The previous prime is 755520463. The next prime is 755520481. The reversal of 755520480 is 84025557.

It is a happy number.

755520480 is a `hidden beast` number, since 7 + 55 + 520 + 4 + 80 = 666.

It is a super-2 number, since 2×755520480² = 1141622391398860800, which contains 22 as substring.

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 (755520481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617149 + ... + 618371.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^755520480 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 755520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554577920).

755520480 is an abundant number, since it is smaller than the sum of its proper divisors (2353635360).

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

755520480 is a wasteful number, since it uses less digits than its factorization.

755520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 755520480 is about 27486.7327996617. The cubic root of 755520480 is about 910.7840443253.

The spelling of 755520480 in words is "seven hundred fifty-five million, five hundred twenty thousand, four hundred eighty".