123777640 has 64 divisors (see below), whose sum is σ = 321926400. Its totient is φ = 41952768.

The previous prime is 123777623. The next prime is 123777653. The reversal of 123777640 is 46777321.

It is a self number, because there is not a number n which added to its sum of digits gives 123777640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22437 + ... + 27403.

It is an arithmetic number, because the mean of its divisors is an integer number (5030100).

Almost surely, 2^123777640 is an apocalyptic number.

123777640 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 123777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160963200).

123777640 is an abundant number, since it is smaller than the sum of its proper divisors (198148760).

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

123777640 is a wasteful number, since it uses less digits than its factorization.

123777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 123777640 is about 11125.5399868950. The cubic root of 123777640 is about 498.3648450324.

The spelling of 123777640 in words is "one hundred twenty-three million, seven hundred seventy-seven thousand, six hundred forty".