1790161920 has 264 divisors, whose sum is σ = 6328521576. Its totient is φ = 467730432.

The previous prime is 1790161903. The next prime is 1790161951. The reversal of 1790161920 is 291610971.

1790161920 is a `hidden beast` number, since 17 + 9 + 0 + 1 + 619 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 840536064 + 949625856 = 28992^2 + 30816^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2441874 + ... + 2442606.

Almost surely, 2^1790161920 is an apocalyptic number.

1790161920 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 1790161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164260788).

1790161920 is an abundant number, since it is smaller than the sum of its proper divisors (4538359656).

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

1790161920 is a wasteful number, since it uses less digits than its factorization.

1790161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 1790161920 is about 42310.3051277109. The cubic root of 1790161920 is about 1214.2201569880.

The spelling of 1790161920 in words is "one billion, seven hundred ninety million, one hundred sixty-one thousand, nine hundred twenty".