232776320 has 128 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 79110144.

The previous prime is 232776259. The next prime is 232776331. The reversal of 232776320 is 23677232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998924 + ... + 999156.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^232776320 is an apocalyptic number.

232776320 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 232776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

232776320 is an abundant number, since it is smaller than the sum of its proper divisors (408795520).

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

232776320 is a wasteful number, since it uses less digits than its factorization.

232776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 232776320 is about 15257.0088811667. The cubic root of 232776320 is about 615.1479759376.

The spelling of 232776320 in words is "two hundred thirty-two million, seven hundred seventy-six thousand, three hundred twenty".