1810778112 has 384 divisors, whose sum is σ = 6329232000. Its totient is φ = 504299520.

The previous prime is 1810778083. The next prime is 1810778129. The reversal of 1810778112 is 2118770181.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7907214 + ... + 7907442.

It is an arithmetic number, because the mean of its divisors is an integer number (16482375).

Almost surely, 2^1810778112 is an apocalyptic number.

1810778112 is a gapful number since it is divisible by the number (12) 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 1810778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164616000).

1810778112 is an abundant number, since it is smaller than the sum of its proper divisors (4518453888).

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

1810778112 is a wasteful number, since it uses less digits than its factorization.

1810778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 36.

The square root of 1810778112 is about 42553.2385606548. The cubic root of 1810778112 is about 1218.8635192722.

The spelling of 1810778112 in words is "one billion, eight hundred ten million, seven hundred seventy-eight thousand, one hundred twelve".