1780322040 has 384 divisors, whose sum is σ = 7047705600. Its totient is φ = 381770496.

The previous prime is 1780322009. The next prime is 1780322069. The reversal of 1780322040 is 402230871.

It is a super-2 number, since 2×1780322040² = 6339093132219523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1780321995 and 1780322013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17284629 + ... + 17284731.

It is an arithmetic number, because the mean of its divisors is an integer number (18353400).

Almost surely, 2^1780322040 is an apocalyptic number.

1780322040 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 1780322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523852800).

1780322040 is an abundant number, since it is smaller than the sum of its proper divisors (5267383560).

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

1780322040 is a wasteful number, since it uses less digits than its factorization.

1780322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1780322040 is about 42193.8625868739. The cubic root of 1780322040 is about 1211.9913569949.

The spelling of 1780322040 in words is "one billion, seven hundred eighty million, three hundred twenty-two thousand, forty".