1827976900 has 18 divisors (see below), whose sum is σ = 3966710090. Its totient is φ = 731190720.

The previous prime is 1827976883. The next prime is 1827976903. The reversal of 1827976900 is 96797281.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 291180096 + 1536796804 = 17064^2 + 39202^2 .

It is a super-2 number, since 2×1827976900² = 6682999093867220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1827976903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9139785 + ... + 9139984.

Almost surely, 2^1827976900 is an apocalyptic number.

1827976900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1827976900 is an abundant number, since it is smaller than the sum of its proper divisors (2138733190).

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

1827976900 is a wasteful number, since it uses less digits than its factorization.

1827976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279783 (or 18279776 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The square root of 1827976900 is about 42754.8465089047. The cubic root of 1827976900 is about 1222.7102917891.

The spelling of 1827976900 in words is "one billion, eight hundred twenty-seven million, nine hundred seventy-six thousand, nine hundred".