1304178120 has 288 divisors, whose sum is σ = 5221827000. Its totient is φ = 280498176.

The previous prime is 1304178101. The next prime is 1304178121. The reversal of 1304178120 is 218714031.

It can be written as a sum of positive squares in 4 ways, for example, as 847159236 + 457018884 = 29106^2 + 21378^2 .

It is not an unprimeable number, because it can be changed into a prime (1304178121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297706 + ... + 302054.

Almost surely, 2^1304178120 is an apocalyptic number.

1304178120 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 1304178120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610913500).

1304178120 is an abundant number, since it is smaller than the sum of its proper divisors (3917648880).

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

1304178120 is a wasteful number, since it uses less digits than its factorization.

1304178120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1304178120 is about 36113.4063749184. The cubic root of 1304178120 is about 1092.5608558769.

The spelling of 1304178120 in words is "one billion, three hundred four million, one hundred seventy-eight thousand, one hundred twenty".