827302080 has 224 divisors, whose sum is σ = 2889504000. Its totient is φ = 198881280.

The previous prime is 827302051. The next prime is 827302097. The reversal of 827302080 is 80203728.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657671 + ... + 1658169.

Almost surely, 2^827302080 is an apocalyptic number.

827302080 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 827302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444752000).

827302080 is an abundant number, since it is smaller than the sum of its proper divisors (2062201920).

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

827302080 is a wasteful number, since it uses less digits than its factorization.

827302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 827302080 is about 28762.8593849777. The cubic root of 827302080 is about 938.7602790950.

The spelling of 827302080 in words is "eight hundred twenty-seven million, three hundred two thousand, eighty".