1830872780 has 72 divisors (see below), whose sum is σ = 4316324544. Its totient is φ = 651566080.

The previous prime is 1830872761. The next prime is 1830872789. The reversal of 1830872780 is 872780381.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1830872789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105692 + ... + 121788.

It is an arithmetic number, because the mean of its divisors is an integer number (59948952).

Almost surely, 2^1830872780 is an apocalyptic number.

1830872780 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 1830872780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158162272).

1830872780 is an abundant number, since it is smaller than the sum of its proper divisors (2485451764).

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

1830872780 is a wasteful number, since it uses less digits than its factorization.

1830872780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16175 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 1830872780 is about 42788.6992090201. The cubic root of 1830872780 is about 1223.3556234549.

The spelling of 1830872780 in words is "one billion, eight hundred thirty million, eight hundred seventy-two thousand, seven hundred eighty".