1827876480 has 128 divisors (see below), whose sum is σ = 5861099520. Its totient is φ = 484528128.

The previous prime is 1827876461. The next prime is 1827876497. The reversal of 1827876480 is 846787281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1827876480² = 6682264852274380800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329409 + ... + 334911.

It is an arithmetic number, because the mean of its divisors is an integer number (45789840).

Almost surely, 2^1827876480 is an apocalyptic number.

1827876480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930549760).

1827876480 is an abundant number, since it is smaller than the sum of its proper divisors (4033223040).

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

1827876480 is a wasteful number, since it uses less digits than its factorization.

1827876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 1827876480 is about 42753.6721229885. The cubic root of 1827876480 is about 1222.6879014959.

The spelling of 1827876480 in words is "one billion, eight hundred twenty-seven million, eight hundred seventy-six thousand, four hundred eighty".