755652240 has 320 divisors, whose sum is σ = 3016235520. Its totient is φ = 172440576.

The previous prime is 755652239. The next prime is 755652241. The reversal of 755652240 is 42256557.

755652240 is a `hidden beast` number, since 75 + 565 + 2 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (755652239) and next prime (755652241).

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 = 755652195 and 755652204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755652241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224412 + ... + 1225028.

It is an arithmetic number, because the mean of its divisors is an integer number (9425736).

Almost surely, 2^755652240 is an apocalyptic number.

755652240 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 755652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508117760).

755652240 is an abundant number, since it is smaller than the sum of its proper divisors (2260583280).

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

755652240 is an equidigital number, since it uses as much as digits as its factorization.

755652240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 755652240 is about 27489.1294878539. The cubic root of 755652240 is about 910.8369870464.

The spelling of 755652240 in words is "seven hundred fifty-five million, six hundred fifty-two thousand, two hundred forty".