1330077120 has 224 divisors, whose sum is σ = 4485680640. Its totient is φ = 333189120.

The previous prime is 1330077107. The next prime is 1330077131. The reversal of 1330077120 is 217700331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302210 + ... + 1303230.

It is an arithmetic number, because the mean of its divisors is an integer number (20025360).

Almost surely, 2^1330077120 is an apocalyptic number.

1330077120 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 1330077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242840320).

1330077120 is an abundant number, since it is smaller than the sum of its proper divisors (3155603520).

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

1330077120 is a wasteful number, since it uses less digits than its factorization.

1330077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 1330077120 is about 36470.2223738765. Note that the first 3 decimals coincide. The cubic root of 1330077120 is about 1099.7457043024.

Adding to 1330077120 its reverse (217700331), we get a palindrome (1547777451).

The spelling of 1330077120 in words is "one billion, three hundred thirty million, seventy-seven thousand, one hundred twenty".