23776000 has 72 divisors (see below), whose sum is σ = 59308704. Its totient is φ = 9497600.

The previous prime is 23775971. The next prime is 23776003. The reversal of 23776000 is 67732.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23776003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31629 + ... + 32371.

It is an arithmetic number, because the mean of its divisors is an integer number (823732).

Almost surely, 2^23776000 is an apocalyptic number.

23776000 is a gapful number since it is divisible by the number (20) 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 23776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29654352).

23776000 is an abundant number, since it is smaller than the sum of its proper divisors (35532704).

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

23776000 is an frugal number, since it uses more digits than its factorization.

23776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 23776000 is about 4876.0639864546. The cubic root of 23776000 is about 287.5497078513.

The spelling of 23776000 in words is "twenty-three million, seven hundred seventy-six thousand".