1140796800 has 576 divisors, whose sum is σ = 4799536560. Its totient is φ = 254361600.

The previous prime is 1140796799. The next prime is 1140796817. The reversal of 1140796800 is 86970411.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118262 + ... + 4118538.

Almost surely, 2^1140796800 is an apocalyptic number.

1140796800 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 1140796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399768280).

1140796800 is an abundant number, since it is smaller than the sum of its proper divisors (3658739760).

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

1140796800 is a wasteful number, since it uses less digits than its factorization.

1140796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1140796800 is about 33775.6835608104. The cubic root of 1140796800 is about 1044.8872538481.

The spelling of 1140796800 in words is "one billion, one hundred forty million, seven hundred ninety-six thousand, eight hundred".