1240780800 has 312 divisors, whose sum is σ = 4696522816. Its totient is φ = 283115520.

The previous prime is 1240780787. The next prime is 1240780831. The reversal of 1240780800 is 80870421.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2150112 + ... + 2150688.

Almost surely, 2^1240780800 is an apocalyptic number.

1240780800 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 1240780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348261408).

1240780800 is an abundant number, since it is smaller than the sum of its proper divisors (3455742016).

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

1240780800 is an equidigital number, since it uses as much as digits as its factorization.

1240780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1240780800 is about 35224.7185936240. The cubic root of 1240780800 is about 1074.5625189406.

The spelling of 1240780800 in words is "one billion, two hundred forty million, seven hundred eighty thousand, eight hundred".