76225320 has 128 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 20155392.

The previous prime is 76225319. The next prime is 76225327. The reversal of 76225320 is 2352267.

76225320 is a `hidden beast` number, since 7 + 622 + 5 + 32 + 0 = 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 (76225327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175824 + ... + 176256.

It is an arithmetic number, because the mean of its divisors is an integer number (2001825).

Almost surely, 2^76225320 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 76225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116800).

76225320 is an abundant number, since it is smaller than the sum of its proper divisors (180008280).

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

76225320 is a wasteful number, since it uses less digits than its factorization.

76225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76225320 is about 8730.7113112277. The cubic root of 76225320 is about 424.0005488304. Note that the first 3 decimals are identical.

Adding to 76225320 its reverse (2352267), we get a palindrome (78577587).

The spelling of 76225320 in words is "seventy-six million, two hundred twenty-five thousand, three hundred twenty".