755159040 has 312 divisors, whose sum is σ = 2783039688. Its totient is φ = 188743680.

The previous prime is 755159021. The next prime is 755159059. The reversal of 755159040 is 40951557.

It is an interprime number because it is at equal distance from previous prime (755159021) and next prime (755159059).

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 513294336 = 15552^2 + 22656^2 .

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 755158986 and 755159004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133320 + ... + 3133560.

It is an arithmetic number, because the mean of its divisors is an integer number (8919999).

Almost surely, 2^755159040 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 755159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391519844).

755159040 is an abundant number, since it is smaller than the sum of its proper divisors (2027880648).

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

755159040 is a wasteful number, since it uses less digits than its factorization.

755159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 755159040 is about 27480.1572047905. The cubic root of 755159040 is about 910.6387818637.

The spelling of 755159040 in words is "seven hundred fifty-five million, one hundred fifty-nine thousand, forty".