1117761120 has 504 divisors, whose sum is σ = 4650461424. Its totient is φ = 248583168.

The previous prime is 1117761091. The next prime is 1117761121. The reversal of 1117761120 is 211677111.

1117761120 is a `hidden beast` number, since 11 + 17 + 7 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117761121) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30209742 + ... + 30209778.

It is an arithmetic number, because the mean of its divisors is an integer number (9227106).

Almost surely, 2^1117761120 is an apocalyptic number.

1117761120 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 1117761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325230712).

1117761120 is an abundant number, since it is smaller than the sum of its proper divisors (3532700304).

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

1117761120 is an frugal number, since it uses more digits than its factorization.

1117761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The square root of 1117761120 is about 33432.9346603017. The cubic root of 1117761120 is about 1037.8063723832.

It can be divided in two parts, 111776 and 1120, that added together give a square (112896 = 336²).

The spelling of 1117761120 in words is "one billion, one hundred seventeen million, seven hundred sixty-one thousand, one hundred twenty".