755219920 has 160 divisors (see below), whose sum is σ = 2175360768. Its totient is φ = 237441024.

The previous prime is 755219897. The next prime is 755219929. The reversal of 755219920 is 29912557.

755219920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755219929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1652332 + ... + 1652788.

Almost surely, 2^755219920 is an apocalyptic number.

755219920 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 755219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087680384).

755219920 is an abundant number, since it is smaller than the sum of its proper divisors (1420140848).

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

755219920 is a wasteful number, since it uses less digits than its factorization.

755219920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 755219920 is about 27481.2648908306. The cubic root of 755219920 is about 910.6632527351.

It can be divided in two parts, 7552 and 19920, that added together give a palindrome (27472).

The spelling of 755219920 in words is "seven hundred fifty-five million, two hundred nineteen thousand, nine hundred twenty".