828490080 has 192 divisors, whose sum is σ = 2866606848. Its totient is φ = 199464960.

The previous prime is 828490057. The next prime is 828490127. The reversal of 828490080 is 80094828.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912987 + ... + 913893.

It is an arithmetic number, because the mean of its divisors is an integer number (14930244).

Almost surely, 2^828490080 is an apocalyptic number.

828490080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433303424).

828490080 is an abundant number, since it is smaller than the sum of its proper divisors (2038116768).

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

828490080 is a wasteful number, since it uses less digits than its factorization.

828490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 828490080 is about 28783.5036088382. The cubic root of 828490080 is about 939.2094152428.

The spelling of 828490080 in words is "eight hundred twenty-eight million, four hundred ninety thousand, eighty".