76233420 has 96 divisors (see below), whose sum is σ = 240307200. Its totient is φ = 20060352.

The previous prime is 76233419. The next prime is 76233427. The reversal of 76233420 is 2433267.

76233420 is a `hidden beast` number, since 7 + 6 + 233 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76233427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41767 + ... + 43553.

It is an arithmetic number, because the mean of its divisors is an integer number (2503200).

Almost surely, 2^76233420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120153600).

76233420 is an abundant number, since it is smaller than the sum of its proper divisors (164073780).

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

76233420 is a wasteful number, since it uses less digits than its factorization.

76233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 76233420 is about 8731.1751786343. The cubic root of 76233420 is about 424.0155669495.

Adding to 76233420 its reverse (2433267), we get a palindrome (78666687).

The spelling of 76233420 in words is "seventy-six million, two hundred thirty-three thousand, four hundred twenty".