533765760 has 256 divisors, whose sum is σ = 1880064000. Its totient is φ = 127733760.

The previous prime is 533765753. The next prime is 533765767. The reversal of 533765760 is 67567335.

It is an interprime number because it is at equal distance from previous prime (533765753) and next prime (533765767).

It is not an unprimeable number, because it can be changed into a prime (533765767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682141 + ... + 2682339.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2^533765760 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 533765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940032000).

533765760 is an abundant number, since it is smaller than the sum of its proper divisors (1346298240).

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

533765760 is a wasteful number, since it uses less digits than its factorization.

533765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 42.

The square root of 533765760 is about 23103.3711825785. The cubic root of 533765760 is about 811.1793823952.

The spelling of 533765760 in words is "five hundred thirty-three million, seven hundred sixty-five thousand, seven hundred sixty".