123786792 has 120 divisors (see below), whose sum is σ = 368869710. Its totient is φ = 38776320.

The previous prime is 123786769. The next prime is 123786797. The reversal of 123786792 is 297687321.

123786792 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 123343236 + 443556 = 11106^2 + 666^2 .

It is not an unprimeable number, because it can be changed into a prime (123786797) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 186942 + ... + 187602.

Almost surely, 2^123786792 is an apocalyptic number.

123786792 is a gapful number since it is divisible by the number (12) 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 123786792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184434855).

123786792 is an abundant number, since it is smaller than the sum of its proper divisors (245082918).

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

123786792 is a wasteful number, since it uses less digits than its factorization.

123786792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 683 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 123786792 is about 11125.9512851711. The cubic root of 123786792 is about 498.3771276026.

The spelling of 123786792 in words is "one hundred twenty-three million, seven hundred eighty-six thousand, seven hundred ninety-two".