755006040 has 384 divisors, whose sum is σ = 2816985600. Its totient is φ = 174182400.

The previous prime is 755006033. The next prime is 755006047. The reversal of 755006040 is 40600557.

755006040 = T₁₄₅ + T₁₄₆ + ... + T₁₆₅₄.

755006040 is a `hidden beast` number, since 7 + 5 + 50 + 0 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (755006033) and next prime (755006047).

It is a junction number, because it is equal to n+sod(n) for n = 755005995 and 755006013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755006047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4999965 + ... + 5000115.

It is an arithmetic number, because the mean of its divisors is an integer number (7335900).

Almost surely, 2^755006040 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 755006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408492800).

755006040 is an abundant number, since it is smaller than the sum of its proper divisors (2061979560).

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

755006040 is a wasteful number, since it uses less digits than its factorization.

755006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 755006040 is about 27477.3732369017. The cubic root of 755006040 is about 910.5772773166.

Adding to 755006040 its reverse (40600557), we get a palindrome (795606597).

The spelling of 755006040 in words is "seven hundred fifty-five million, six thousand, forty".