1053280800 has 864 divisors, whose sum is σ = 4654702080. Its totient is φ = 228096000.

The previous prime is 1053280799. The next prime is 1053280853. The reversal of 1053280800 is 80823501.

It is a happy number.

1053280800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1053280800² = 2218800887297280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33976785 + ... + 33976815.

Almost surely, 2^1053280800 is an apocalyptic number.

1053280800 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 1053280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327351040).

1053280800 is an abundant number, since it is smaller than the sum of its proper divisors (3601421280).

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

1053280800 is a wasteful number, since it uses less digits than its factorization.

1053280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1053280800 is about 32454.2878523008. The cubic root of 1053280800 is about 1017.4538571722.

The spelling of 1053280800 in words is "one billion, fifty-three million, two hundred eighty thousand, eight hundred".