114007770 has 128 divisors (see below), whose sum is σ = 320993280. Its totient is φ = 28753920.

The previous prime is 114007769. The next prime is 114007783. The reversal of 114007770 is 77700411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443482 + ... + 443738.

It is an arithmetic number, because the mean of its divisors is an integer number (2507760).

Almost surely, 2^114007770 is an apocalyptic number.

114007770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114007770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160496640).

114007770 is an abundant number, since it is smaller than the sum of its proper divisors (206985510).

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

114007770 is a wasteful number, since it uses less digits than its factorization.

114007770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 114007770 is about 10677.4421094193. The cubic root of 114007770 is about 484.8917744843.

The spelling of 114007770 in words is "one hundred fourteen million, seven thousand, seven hundred seventy".