1782668160 has 768 divisors, whose sum is σ = 8019648000. Its totient is φ = 354336768.

The previous prime is 1782668143. The next prime is 1782668183. The reversal of 1782668160 is 618662871.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9958951 + ... + 9959129.

It is an arithmetic number, because the mean of its divisors is an integer number (10442250).

Almost surely, 2^1782668160 is an apocalyptic number.

1782668160 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 1782668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

1782668160 is an abundant number, since it is smaller than the sum of its proper divisors (6236979840).

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

1782668160 is a wasteful number, since it uses less digits than its factorization.

1782668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1782668160 is about 42221.6551073025. The cubic root of 1782668160 is about 1212.5235133429.

The spelling of 1782668160 in words is "one billion, seven hundred eighty-two million, six hundred sixty-eight thousand, one hundred sixty".