755117440 has 288 divisors, whose sum is σ = 2319786000. Its totient is φ = 234178560.

The previous prime is 755117431. The next prime is 755117443. The reversal of 755117440 is 44711557.

It is a junction number, because it is equal to n+sod(n) for n = 755117396 and 755117405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755117443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3794461 + ... + 3794659.

Almost surely, 2^755117440 is an apocalyptic number.

755117440 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 755117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159893000).

755117440 is an abundant number, since it is smaller than the sum of its proper divisors (1564668560).

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

755117440 is a wasteful number, since it uses less digits than its factorization.

755117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 755117440 is about 27479.4002845768. The cubic root of 755117440 is about 910.6220598811.

Adding to 755117440 its reverse (44711557), we get a palindrome (799828997).

It can be divided in two parts, 755117 and 440, that added together give a palindrome (755557).

The spelling of 755117440 in words is "seven hundred fifty-five million, one hundred seventeen thousand, four hundred forty".