755665920 has 396 divisors, whose sum is σ = 2825449536. Its totient is φ = 186531840.

The previous prime is 755665909. The next prime is 755665927. The reversal of 755665920 is 29566557.

755665920 is a `hidden beast` number, since 7 + 5 + 56 + 6 + 592 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (755665927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24376305 + ... + 24376335.

Almost surely, 2^755665920 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 755665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412724768).

755665920 is an abundant number, since it is smaller than the sum of its proper divisors (2069783616).

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

755665920 is a wasteful number, since it uses less digits than its factorization.

755665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 755665920 is about 27489.3783123591. The cubic root of 755665920 is about 910.8424834790.

The spelling of 755665920 in words is "seven hundred fifty-five million, six hundred sixty-five thousand, nine hundred twenty".