755792720 has 80 divisors (see below), whose sum is σ = 1798880400. Its totient is φ = 295206912.

The previous prime is 755792711. The next prime is 755792753. The reversal of 755792720 is 27297557.

It can be written as a sum of positive squares in 8 ways, for example, as 25928464 + 729864256 = 5092^2 + 27016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683056 + ... + 1683504.

It is an arithmetic number, because the mean of its divisors is an integer number (22486005).

Almost surely, 2^755792720 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 755792720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899440200).

755792720 is an abundant number, since it is smaller than the sum of its proper divisors (1043087680).

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

755792720 is a wasteful number, since it uses less digits than its factorization.

755792720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 44.

The square root of 755792720 is about 27491.6845609723. The cubic root of 755792720 is about 910.8934267881.

The spelling of 755792720 in words is "seven hundred fifty-five million, seven hundred ninety-two thousand, seven hundred twenty".