123778464 has 96 divisors (see below), whose sum is σ = 346752000. Its totient is φ = 38548224.

The previous prime is 123778453. The next prime is 123778469. The reversal of 123778464 is 464877321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123778464² = 30642216300398592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123778469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143667 + ... + 144525.

It is an arithmetic number, because the mean of its divisors is an integer number (3612000).

Almost surely, 2^123778464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123778464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173376000).

123778464 is an abundant number, since it is smaller than the sum of its proper divisors (222973536).

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

123778464 is a wasteful number, since it uses less digits than its factorization.

123778464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 123778464 is about 11125.5770187438. The cubic root of 123778464 is about 498.3659509180.

The spelling of 123778464 in words is "one hundred twenty-three million, seven hundred seventy-eight thousand, four hundred sixty-four".