1427020800 has 264 divisors, whose sum is σ = 4998380976. Its totient is φ = 357826560.

The previous prime is 1427020781. The next prime is 1427020823. The reversal of 1427020800 is 80207241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1305054 + ... + 1306146.

Almost surely, 2^1427020800 is an apocalyptic number.

1427020800 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 1427020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499190488).

1427020800 is an abundant number, since it is smaller than the sum of its proper divisors (3571360176).

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

1427020800 is a wasteful number, since it uses less digits than its factorization.

1427020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1427020800 is about 37775.9288436433. The cubic root of 1427020800 is about 1125.8402414190.

The spelling of 1427020800 in words is "one billion, four hundred twenty-seven million, twenty thousand, eight hundred".