820006887400 has 24 divisors (see below), whose sum is σ = 1906516013670. Its totient is φ = 328002754880.

The previous prime is 820006887391. The next prime is 820006887419. The reversal of 820006887400 is 4788600028.

It can be written as a sum of positive squares in 3 ways, for example, as 306488460996 + 513518426404 = 553614^2 + 716602^2 .

It is a super-2 number, since 2×820006887400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2050017019 + ... + 2050017418.

Almost surely, 2^820006887400 is an apocalyptic number.

It is an amenable number.

820006887400 is an abundant number, since it is smaller than the sum of its proper divisors (1086509126270).

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

820006887400 is a wasteful number, since it uses less digits than its factorization.

820006887400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100034453 (or 4100034444 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 820006887400 in words is "eight hundred twenty billion, six million, eight hundred eighty-seven thousand, four hundred".