828586080 has 216 divisors, whose sum is σ = 3289470912. Its totient is φ = 189374976.

The previous prime is 828586043. The next prime is 828586133. The reversal of 828586080 is 80685828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64689 + ... + 76431.

It is an arithmetic number, because the mean of its divisors is an integer number (15229032).

Almost surely, 2^828586080 is an apocalyptic number.

828586080 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 828586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644735456).

828586080 is an abundant number, since it is smaller than the sum of its proper divisors (2460884832).

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

828586080 is a wasteful number, since it uses less digits than its factorization.

828586080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 828586080 is about 28785.1711823988. The cubic root of 828586080 is about 939.2456903187.

The spelling of 828586080 in words is "eight hundred twenty-eight million, five hundred eighty-six thousand, eighty".