535778880 has 224 divisors, whose sum is σ = 2094000384. Its totient is φ = 113025024.

The previous prime is 535778773. The next prime is 535778923. The reversal of 535778880 is 88877535.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84294 + ... + 90426.

It is an arithmetic number, because the mean of its divisors is an integer number (9348216).

Almost surely, 2^535778880 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 535778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047000192).

535778880 is an abundant number, since it is smaller than the sum of its proper divisors (1558221504).

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

535778880 is a wasteful number, since it uses less digits than its factorization.

535778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The square root of 535778880 is about 23146.8978483079. The cubic root of 535778880 is about 812.1979020490.

The spelling of 535778880 in words is "five hundred thirty-five million, seven hundred seventy-eight thousand, eight hundred eighty".