1780111872 has 480 divisors, whose sum is σ = 6664394880. Its totient is φ = 443842560.

The previous prime is 1780111849. The next prime is 1780111889. The reversal of 1780111872 is 2781110871.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10289578 + ... + 10289750.

It is an arithmetic number, because the mean of its divisors is an integer number (13884156).

Almost surely, 2^1780111872 is an apocalyptic number.

1780111872 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 1780111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332197440).

1780111872 is an abundant number, since it is smaller than the sum of its proper divisors (4884283008).

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

1780111872 is a wasteful number, since it uses less digits than its factorization.

1780111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

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

The square root of 1780111872 is about 42191.3720089783. The cubic root of 1780111872 is about 1211.9436630350.

The spelling of 1780111872 in words is "one billion, seven hundred eighty million, one hundred eleven thousand, eight hundred seventy-two".