1204820784 has 160 divisors (see below), whose sum is σ = 3587865600. Its totient is φ = 386830080.

The previous prime is 1204820759. The next prime is 1204820807. The reversal of 1204820784 is 4870284021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467094 + ... + 1467914.

It is an arithmetic number, because the mean of its divisors is an integer number (22424160).

Almost surely, 2^1204820784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204820784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793932800).

1204820784 is an abundant number, since it is smaller than the sum of its proper divisors (2383044816).

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

1204820784 is a wasteful number, since it uses less digits than its factorization.

1204820784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1204820784 is about 34710.5284315869. The cubic root of 1204820784 is about 1064.0796810321.

It can be divided in two parts, 1204820 and 784, that added together give a square (1205604 = 1098²).

The spelling of 1204820784 in words is "one billion, two hundred four million, eight hundred twenty thousand, seven hundred eighty-four".