112777380 has 96 divisors (see below), whose sum is σ = 362234880. Its totient is φ = 29099520.

The previous prime is 112777363. The next prime is 112777381. The reversal of 112777380 is 83777211.

It is a happy number.

112777380 is a `hidden beast` number, since 1 + 1 + 277 + 7 + 380 = 666.

It is a super-3 number, since 3×112777380³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112777381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13372 + ... + 20108.

It is an arithmetic number, because the mean of its divisors is an integer number (3773280).

Almost surely, 2^112777380 is an apocalyptic number.

112777380 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 112777380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181117440).

112777380 is an abundant number, since it is smaller than the sum of its proper divisors (249457500).

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

112777380 is a wasteful number, since it uses less digits than its factorization.

112777380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 112777380 is about 10619.6694863823. The cubic root of 112777380 is about 483.1411184428.

The spelling of 112777380 in words is "one hundred twelve million, seven hundred seventy-seven thousand, three hundred eighty".