828855760 has 20 divisors (see below), whose sum is σ = 1927089828. Its totient is φ = 331542272.

The previous prime is 828855751. The next prime is 828855767. The reversal of 828855760 is 67558828.

It is a happy number.

828855760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 614643264 + 214212496 = 24792^2 + 14636^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828855767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5180269 + ... + 5180428.

Almost surely, 2^828855760 is an apocalyptic number.

828855760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828855760 is an abundant number, since it is smaller than the sum of its proper divisors (1098234068).

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

828855760 is a wasteful number, since it uses less digits than its factorization.

828855760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360710 (or 10360704 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The square root of 828855760 is about 28789.8551576766. The cubic root of 828855760 is about 939.3475780641.

The spelling of 828855760 in words is "eight hundred twenty-eight million, eight hundred fifty-five thousand, seven hundred sixty".