11770080 has 192 divisors, whose sum is σ = 44126208. Its totient is φ = 2580480.

The previous prime is 11770051. The next prime is 11770093. The reversal of 11770080 is 8007711.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11770080.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 104104 + ... + 104216.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^11770080 is an apocalyptic number.

11770080 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 11770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

11770080 is an abundant number, since it is smaller than the sum of its proper divisors (32356128).

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

11770080 is a wasteful number, since it uses less digits than its factorization.

11770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 11770080 is about 3430.7550189426. The cubic root of 11770080 is about 227.4712276940.

Adding to 11770080 its reverse (8007711), we get a palindrome (19777791).

The spelling of 11770080 in words is "eleven million, seven hundred seventy thousand, eighty".