755780480 has 256 divisors, whose sum is σ = 2344204800. Its totient is φ = 226271232.

The previous prime is 755780479. The next prime is 755780491. The reversal of 755780480 is 84087557.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106219 + ... + 1106901.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

Almost surely, 2^755780480 is an apocalyptic number.

755780480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

755780480 is an abundant number, since it is smaller than the sum of its proper divisors (1588424320).

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

755780480 is a wasteful number, since it uses less digits than its factorization.

755780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 44.

The square root of 755780480 is about 27491.4619473028. The cubic root of 755780480 is about 910.8885094806. Note that the first 3 decimals are identical.

The spelling of 755780480 in words is "seven hundred fifty-five million, seven hundred eighty thousand, four hundred eighty".