1240768800 has 576 divisors, whose sum is σ = 4949683200. Its totient is φ = 298598400.

The previous prime is 1240768777. The next prime is 1240768801. The reversal of 1240768800 is 88670421.

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

It is not an unprimeable number, because it can be changed into a prime (1240768801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11383146 + ... + 11383254.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^1240768800 is an apocalyptic number.

1240768800 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 1240768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

1240768800 is an abundant number, since it is smaller than the sum of its proper divisors (3708914400).

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

1240768800 is a wasteful number, since it uses less digits than its factorization.

1240768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1240768800 is about 35224.5482582815. The cubic root of 1240768800 is about 1074.5590547800.

The spelling of 1240768800 in words is "one billion, two hundred forty million, seven hundred sixty-eight thousand, eight hundred".