755856384 has 88 divisors (see below), whose sum is σ = 2079883008. Its totient is φ = 243793920.

The previous prime is 755856379. The next prime is 755856389. The reversal of 755856384 is 483658557.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (755856379) and next prime (755856389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755856389) 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 7 ways as a sum of consecutive naturals, for example, 91264 + ... + 99200.

Almost surely, 2^755856384 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 755856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039941504).

755856384 is an abundant number, since it is smaller than the sum of its proper divisors (1324026624).

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

755856384 is a wasteful number, since it uses less digits than its factorization.

755856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7973 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 755856384 is about 27492.8424139811. The cubic root of 755856384 is about 910.9190023590.

The spelling of 755856384 in words is "seven hundred fifty-five million, eight hundred fifty-six thousand, three hundred eighty-four".