233380780 has 36 divisors (see below), whose sum is σ = 501841872. Its totient is φ = 91166880.

The previous prime is 233380759. The next prime is 233380787. The reversal of 233380780 is 87083332.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (233380787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33825 + ... + 40135.

It is an arithmetic number, because the mean of its divisors is an integer number (13940052).

Almost surely, 2^233380780 is an apocalyptic number.

233380780 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 233380780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250920936).

233380780 is an abundant number, since it is smaller than the sum of its proper divisors (268461092).

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

233380780 is a wasteful number, since it uses less digits than its factorization.

233380780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 233380780 is about 15276.8052943016. The cubic root of 233380780 is about 615.6799758681.

The spelling of 233380780 in words is "two hundred thirty-three million, three hundred eighty thousand, seven hundred eighty".