827362880 has 28 divisors (see below), whose sum is σ = 1970158620. Its totient is φ = 330945024.

The previous prime is 827362853. The next prime is 827362891. The reversal of 827362880 is 88263728.

It can be written as a sum of positive squares in 2 ways, for example, as 97930816 + 729432064 = 9896^2 + 27008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1292435 + ... + 1293074.

Almost surely, 2^827362880 is an apocalyptic number.

827362880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827362880 is an abundant number, since it is smaller than the sum of its proper divisors (1142795740).

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

827362880 is a wasteful number, since it uses less digits than its factorization.

827362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585526 (or 2585516 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 827362880 is about 28763.9162841224. The cubic root of 827362880 is about 938.7832756232.

The spelling of 827362880 in words is "eight hundred twenty-seven million, three hundred sixty-two thousand, eight hundred eighty".