755657640 has 256 divisors, whose sum is σ = 2721600000. Its totient is φ = 185923584.

The previous prime is 755657627. The next prime is 755657641. The reversal of 755657640 is 46756557.

755657640 is a `hidden beast` number, since 7 + 556 + 57 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (755657641) 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, 719836 + ... + 720884.

It is an arithmetic number, because the mean of its divisors is an integer number (10631250).

Almost surely, 2^755657640 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 755657640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800000).

755657640 is an abundant number, since it is smaller than the sum of its proper divisors (1965942360).

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

755657640 is a wasteful number, since it uses less digits than its factorization.

755657640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 755657640 is about 27489.2277083224. The cubic root of 755657640 is about 910.8391566988.

The spelling of 755657640 in words is "seven hundred fifty-five million, six hundred fifty-seven thousand, six hundred forty".