1427760800 has 72 divisors (see below), whose sum is σ = 3598019712. Its totient is φ = 552672000.

The previous prime is 1427760781. The next prime is 1427760853. The reversal of 1427760800 is 80677241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3986 + ... + 53585.

It is an arithmetic number, because the mean of its divisors is an integer number (49972496).

Almost surely, 2^1427760800 is an apocalyptic number.

1427760800 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 1427760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799009856).

1427760800 is an abundant number, since it is smaller than the sum of its proper divisors (2170258912).

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

1427760800 is a wasteful number, since it uses less digits than its factorization.

1427760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57622 (or 57609 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 1427760800 is about 37785.7221712117. The cubic root of 1427760800 is about 1126.0348141053.

The spelling of 1427760800 in words is "one billion, four hundred twenty-seven million, seven hundred sixty thousand, eight hundred".