827557728804 has 45 divisors (see below), whose sum is σ = 2163442178667. Its totient is φ = 275847118056.

The previous prime is 827557728799. The next prime is 827557728821. The reversal of 827557728804 is 408827755728.

The square root of 827557728804 is 909702.

It is a perfect power (a square), and thus also a powerful number.

827557728804 is a `hidden beast` number, since 8 + 2 + 7 + 557 + 72 + 8 + 8 + 0 + 4 = 666.

It is a super-2 number, since 2×827557728804² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16349367 + ... + 16399905.

Almost surely, 2^827557728804 is an apocalyptic number.

827557728804 is the 909702-nd square number.

It is an amenable number.

827557728804 is an abundant number, since it is smaller than the sum of its proper divisors (1335884449863).

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

827557728804 is an frugal number, since it uses more digits than its factorization.

827557728804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101094 (or 50544 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 827557728804 in words is "eight hundred twenty-seven billion, five hundred fifty-seven million, seven hundred twenty-eight thousand, eight hundred four".