755434848 has 192 divisors, whose sum is σ = 2429844480. Its totient is φ = 200589312.

The previous prime is 755434847. The next prime is 755434871. The reversal of 755434848 is 848434557.

It is a super-3 number, since 3×755434848³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 755434797 and 755434806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755434843) 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 31 ways as a sum of consecutive naturals, for example, 1016365 + ... + 1017107.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2^755434848 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 755434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214922240).

755434848 is an abundant number, since it is smaller than the sum of its proper divisors (1674409632).

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

755434848 is a wasteful number, since it uses less digits than its factorization.

755434848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The square root of 755434848 is about 27485.1750585657. The cubic root of 755434848 is about 910.7496330781.

The spelling of 755434848 in words is "seven hundred fifty-five million, four hundred thirty-four thousand, eight hundred forty-eight".