1727980800 has 864 divisors, whose sum is σ = 7494187008. Its totient is φ = 340623360.

The previous prime is 1727980799. The next prime is 1727980811. The reversal of 1727980800 is 80897271.

1727980800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 40185579 + ... + 40185621.

Almost surely, 2^1727980800 is an apocalyptic number.

1727980800 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 1727980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747093504).

1727980800 is an abundant number, since it is smaller than the sum of its proper divisors (5766206208).

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

1727980800 is a wasteful number, since it uses less digits than its factorization.

1727980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 1727980800 is about 41568.9884409039. The cubic root of 1727980800 is about 1199.9955555391.

The spelling of 1727980800 in words is "one billion, seven hundred twenty-seven million, nine hundred eighty thousand, eight hundred".