123776640 has 512 divisors, whose sum is σ = 514080000. Its totient is φ = 27869184.

The previous prime is 123776633. The next prime is 123776641. The reversal of 123776640 is 46677321.

123776640 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 7 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123776595 and 123776604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123776641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4268146 + ... + 4268174.

Almost surely, 2^123776640 is an apocalyptic number.

123776640 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 123776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

123776640 is an abundant number, since it is smaller than the sum of its proper divisors (390303360).

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

123776640 is a wasteful number, since it uses less digits than its factorization.

123776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 123776640 is about 11125.4950451654. The cubic root of 123776640 is about 498.3635029317.

It can be divided in two parts, 1237 and 76640, that added together give a palindrome (77877).

The spelling of 123776640 in words is "one hundred twenty-three million, seven hundred seventy-six thousand, six hundred forty".