755663440 has 320 divisors, whose sum is σ = 2285568000. Its totient is φ = 226437120.

The previous prime is 755663387. The next prime is 755663443. The reversal of 755663440 is 44366557.

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

It is a junction number, because it is equal to n+sod(n) for n = 755663393 and 755663402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755663443) 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, 9565321 + ... + 9565399.

It is an arithmetic number, because the mean of its divisors is an integer number (7142400).

Almost surely, 2^755663440 is an apocalyptic number.

755663440 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 755663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784000).

755663440 is an abundant number, since it is smaller than the sum of its proper divisors (1529904560).

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

755663440 is a wasteful number, since it uses less digits than its factorization.

755663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The square root of 755663440 is about 27489.3332039902. Note that the first 3 decimals coincide. The cubic root of 755663440 is about 910.8414870547.

The spelling of 755663440 in words is "seven hundred fifty-five million, six hundred sixty-three thousand, four hundred forty".