1177930240 has 80 divisors (see below), whose sum is σ = 2838112992. Its totient is φ = 468865024.

The previous prime is 1177930223. The next prime is 1177930253. The reversal of 1177930240 is 420397711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1177930196 and 1177930205.

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 7 ways as a sum of consecutive naturals, for example, 580107 + ... + 582133.

Almost surely, 2^1177930240 is an apocalyptic number.

1177930240 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 1177930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419056496).

1177930240 is an abundant number, since it is smaller than the sum of its proper divisors (1660182752).

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

1177930240 is an equidigital number, since it uses as much as digits as its factorization.

1177930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 1177930240 is about 34320.9883307576. The cubic root of 1177930240 is about 1056.1036017119.

The spelling of 1177930240 in words is "one billion, one hundred seventy-seven million, nine hundred thirty thousand, two hundred forty".