755354880 has 864 divisors, whose sum is σ = 3443731200. Its totient is φ = 148635648.

The previous prime is 755354827. The next prime is 755354881. The reversal of 755354880 is 88453557.

755354880 is a `hidden beast` number, since 75 + 535 + 48 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755354881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26046706 + ... + 26046734.

It is an arithmetic number, because the mean of its divisors is an integer number (3985800).

Almost surely, 2^755354880 is an apocalyptic number.

755354880 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 755354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

755354880 is an abundant number, since it is smaller than the sum of its proper divisors (2688376320).

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

755354880 is a wasteful number, since it uses less digits than its factorization.

755354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 755354880 is about 27483.7202721902. The cubic root of 755354880 is about 910.7174955629.

The spelling of 755354880 in words is "seven hundred fifty-five million, three hundred fifty-four thousand, eight hundred eighty".