1207788120 has 576 divisors, whose sum is σ = 5243434560. Its totient is φ = 235192320.

The previous prime is 1207788107. The next prime is 1207788149. The reversal of 1207788120 is 218877021.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5183524 + ... + 5183756.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^1207788120 is an apocalyptic number.

1207788120 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 1207788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621717280).

1207788120 is an abundant number, since it is smaller than the sum of its proper divisors (4035646440).

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

1207788120 is a wasteful number, since it uses less digits than its factorization.

1207788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1207788120 is about 34753.2461793140. The cubic root of 1207788120 is about 1064.9525337570.

The spelling of 1207788120 in words is "one billion, two hundred seven million, seven hundred eighty-eight thousand, one hundred twenty".