755997840 has 480 divisors, whose sum is σ = 2995344000. Its totient is φ = 174680064.

The previous prime is 755997817. The next prime is 755997841. The reversal of 755997840 is 48799557.

755997840 is a `hidden beast` number, since 7 + 5 + 599 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755997841) 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, 6935706 + ... + 6935814.

It is an arithmetic number, because the mean of its divisors is an integer number (6240300).

Almost surely, 2^755997840 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 755997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497672000).

755997840 is an abundant number, since it is smaller than the sum of its proper divisors (2239346160).

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

755997840 is a wasteful number, since it uses less digits than its factorization.

755997840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 755997840 is about 27495.4148904867. The cubic root of 755997840 is about 910.9758239650.

The spelling of 755997840 in words is "seven hundred fifty-five million, nine hundred ninety-seven thousand, eight hundred forty".