820849600 has 42 divisors (see below), whose sum is σ = 2019806984. Its totient is φ = 328339200.

The previous prime is 820849597. The next prime is 820849619. The reversal of 820849600 is 6948028.

It is a self number, because there is not a number n which added to its sum of digits gives 820849600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254916 + ... + 258115.

Almost surely, 2^820849600 is an apocalyptic number.

820849600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820849600 is an abundant number, since it is smaller than the sum of its proper divisors (1198957384).

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

820849600 is a wasteful number, since it uses less digits than its factorization.

820849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513053 (or 513038 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 820849600 is about 28650.4729454856. The cubic root of 820849600 is about 936.3133097771.

The spelling of 820849600 in words is "eight hundred twenty million, eight hundred forty-nine thousand, six hundred".