1427120800 has 144 divisors (see below), whose sum is σ = 4037366592. Its totient is φ = 482457600.

The previous prime is 1427120791. The next prime is 1427120801. The reversal of 1427120800 is 80217241.

It is a happy number.

It is a super-3 number, since 3×1427120800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1427120801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407055 + ... + 410545.

It is an arithmetic number, because the mean of its divisors is an integer number (28037268).

Almost surely, 2^1427120800 is an apocalyptic number.

1427120800 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 1427120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018683296).

1427120800 is an abundant number, since it is smaller than the sum of its proper divisors (2610245792).

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

1427120800 is a wasteful number, since it uses less digits than its factorization.

1427120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 1427120800 is about 37777.2524146476. The cubic root of 1427120800 is about 1125.8665389554.

The spelling of 1427120800 in words is "one billion, four hundred twenty-seven million, one hundred twenty thousand, eight hundred".