755269920 has 240 divisors, whose sum is σ = 2696529528. Its totient is φ = 199065600.

The previous prime is 755269913. The next prime is 755269943. The reversal of 755269920 is 29962557.

755269920 is a `hidden beast` number, since 7 + 552 + 6 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730945296 + 24324624 = 27036^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308672 + ... + 1309248.

Almost surely, 2^755269920 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 755269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348264764).

755269920 is an abundant number, since it is smaller than the sum of its proper divisors (1941259608).

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

755269920 is a wasteful number, since it uses less digits than its factorization.

755269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 755269920 is about 27482.1745864478. The cubic root of 755269920 is about 910.6833493792.

The spelling of 755269920 in words is "seven hundred fifty-five million, two hundred sixty-nine thousand, nine hundred twenty".