1827872800 has 72 divisors (see below), whose sum is σ = 4805575236. Its totient is φ = 674903040.

The previous prime is 1827872791. The next prime is 1827872803. The reversal of 1827872800 is 82787281.

1827872800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 954315664 + 873557136 = 30892^2 + 29556^2 .

It is a super-2 number, since 2×1827872800² = 6682237945959680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1827872803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77479 + ... + 98278.

Almost surely, 2^1827872800 is an apocalyptic number.

1827872800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1827872800 is an abundant number, since it is smaller than the sum of its proper divisors (2977702436).

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

1827872800 is a wasteful number, since it uses less digits than its factorization.

1827872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175790 (or 175777 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 43.

The square root of 1827872800 is about 42753.6290857279. The cubic root of 1827872800 is about 1222.6870809637.

It can be divided in two parts, 1827872 and 800, that multiplied together give a square (1462297600 = 38240²).

The spelling of 1827872800 in words is "one billion, eight hundred twenty-seven million, eight hundred seventy-two thousand, eight hundred".