123456780 has 72 divisors (see below), whose sum is σ = 382479552. Its totient is φ = 32219136.

The previous prime is 123456761. The next prime is 123456791. The reversal of 123456780 is 87654321.

123456780 is a `hidden beast` number, since 12 + 3 + 4 + 567 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (5312216).

Almost surely, 2^123456780 is an apocalyptic number.

123456780 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 123456780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191239776).

123456780 is an abundant number, since it is smaller than the sum of its proper divisors (259022772).

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

123456780 is a wasteful number, since it uses less digits than its factorization.

123456780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 123456780 is about 11111.1106555555. The cubic root of 123456780 is about 497.9338471184.

The spelling of 123456780 in words is "one hundred twenty-three million, four hundred fifty-six thousand, seven hundred eighty".