234777816 has 144 divisors (see below), whose sum is σ = 796723200. Its totient is φ = 61907328.

The previous prime is 234777797. The next prime is 234777827. The reversal of 234777816 is 618777432.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43305 + ... + 48423.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2^234777816 is an apocalyptic number.

234777816 is a gapful number since it is divisible by the number (26) 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 234777816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

234777816 is an abundant number, since it is smaller than the sum of its proper divisors (561945384).

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

234777816 is a wasteful number, since it uses less digits than its factorization.

234777816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5144 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 234777816 is about 15322.4611600095. The cubic root of 234777816 is about 616.9060358612.

The spelling of 234777816 in words is "two hundred thirty-four million, seven hundred seventy-seven thousand, eight hundred sixteen".