755537640 has 128 divisors (see below), whose sum is σ = 2662934400. Its totient is φ = 169067520.

The previous prime is 755537633. The next prime is 755537659. The reversal of 755537640 is 46735557.

It is a junction number, because it is equal to n+sod(n) for n = 755537592 and 755537601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4855 + ... + 39174.

It is an arithmetic number, because the mean of its divisors is an integer number (20804175).

Almost surely, 2^755537640 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 755537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331467200).

755537640 is an abundant number, since it is smaller than the sum of its proper divisors (1907396760).

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

755537640 is a wasteful number, since it uses less digits than its factorization.

755537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44067 (or 44063 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The square root of 755537640 is about 27487.0449484844. The cubic root of 755537640 is about 910.7909397642.

The spelling of 755537640 in words is "seven hundred fifty-five million, five hundred thirty-seven thousand, six hundred forty".