123782772 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 38272000.

The previous prime is 123782761. The next prime is 123782801. The reversal of 123782772 is 277287321.

It is a self number, because there is not a number n which added to its sum of digits gives 123782772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225522 + ... + 1225622.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2^123782772 is an apocalyptic number.

123782772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123782772 is an abundant number, since it is smaller than the sum of its proper divisors (187132812).

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

123782772 is a wasteful number, since it uses less digits than its factorization.

123782772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 123782772 is about 11125.7706249949. The cubic root of 123782772 is about 498.3717325797.

The spelling of 123782772 in words is "one hundred twenty-three million, seven hundred eighty-two thousand, seven hundred seventy-two".