755274240 has 480 divisors, whose sum is σ = 3134799360. Its totient is φ = 171859968.

The previous prime is 755274227. The next prime is 755274241. The reversal of 755274240 is 42472557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 755274195 and 755274204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755274241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386769 + ... + 3386991.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^755274240 is an apocalyptic number.

755274240 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 755274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

755274240 is an abundant number, since it is smaller than the sum of its proper divisors (2379525120).

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

755274240 is a wasteful number, since it uses less digits than its factorization.

755274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 755274240 is about 27482.2531827359. The cubic root of 755274240 is about 910.6850856876.

The spelling of 755274240 in words is "seven hundred fifty-five million, two hundred seventy-four thousand, two hundred forty".