1782385920 has 648 divisors, whose sum is σ = 7599166848. Its totient is φ = 377118720.

The previous prime is 1782385883. The next prime is 1782385921. The reversal of 1782385920 is 295832871.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782385921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57496305 + ... + 57496335.

Almost surely, 2^1782385920 is an apocalyptic number.

1782385920 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 1782385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799583424).

1782385920 is an abundant number, since it is smaller than the sum of its proper divisors (5816780928).

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

1782385920 is a wasteful number, since it uses less digits than its factorization.

1782385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1782385920 is about 42218.3126143147. The cubic root of 1782385920 is about 1212.4595192494.

The spelling of 1782385920 in words is "one billion, seven hundred eighty-two million, three hundred eighty-five thousand, nine hundred twenty".