1790105920 has 112 divisors (see below), whose sum is σ = 4461101568. Its totient is φ = 683479040.

The previous prime is 1790105887. The next prime is 1790105923. The reversal of 1790105920 is 295010971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1790105923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615189 + ... + 618091.

It is an arithmetic number, because the mean of its divisors is an integer number (39831264).

Almost surely, 2^1790105920 is an apocalyptic number.

1790105920 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 1790105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230550784).

1790105920 is an abundant number, since it is smaller than the sum of its proper divisors (2670995648).

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

1790105920 is a wasteful number, since it uses less digits than its factorization.

1790105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 1790105920 is about 42309.6433452233. The cubic root of 1790105920 is about 1214.2074957427.

The spelling of 1790105920 in words is "one billion, seven hundred ninety million, one hundred five thousand, nine hundred twenty".