1782872000 has 448 divisors, whose sum is σ = 5680496640. Its totient is φ = 539136000.

The previous prime is 1782871967. The next prime is 1782872023. The reversal of 1782872000 is 2782871.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22567961 + ... + 22568039.

It is an arithmetic number, because the mean of its divisors is an integer number (12679680).

Almost surely, 2^1782872000 is an apocalyptic number.

1782872000 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 1782872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840248320).

1782872000 is an abundant number, since it is smaller than the sum of its proper divisors (3897624640).

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

1782872000 is a wasteful number, since it uses less digits than its factorization.

1782872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 1782872000 is about 42224.0689654609. The cubic root of 1782872000 is about 1212.5697270986.

The spelling of 1782872000 in words is "one billion, seven hundred eighty-two million, eight hundred seventy-two thousand".