234076800 has 192 divisors, whose sum is σ = 793029600. Its totient is φ = 60641280.

The previous prime is 234076781. The next prime is 234076807. The reversal of 234076800 is 8670432.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (234076807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354871 + ... + 355529.

Almost surely, 2^234076800 is an apocalyptic number.

234076800 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 234076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396514800).

234076800 is an abundant number, since it is smaller than the sum of its proper divisors (558952800).

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

234076800 is a wasteful number, since it uses less digits than its factorization.

234076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 234076800 is about 15299.5686213697. The cubic root of 234076800 is about 616.2914233614.

The spelling of 234076800 in words is "two hundred thirty-four million, seventy-six thousand, eight hundred".