76252320 has 192 divisors, whose sum is σ = 281232000. Its totient is φ = 19243008.

The previous prime is 76252313. The next prime is 76252321. The reversal of 76252320 is 2325267.

76252320 is a `hidden beast` number, since 7 + 625 + 2 + 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 (76252321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81616 + ... + 82544.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^76252320 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 76252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

76252320 is an abundant number, since it is smaller than the sum of its proper divisors (204979680).

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

76252320 is a wasteful number, since it uses less digits than its factorization.

76252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

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

The square root of 76252320 is about 8732.2574400896. The cubic root of 76252320 is about 424.0506050908.

Adding to 76252320 its reverse (2325267), we get a palindrome (78577587).

The spelling of 76252320 in words is "seventy-six million, two hundred fifty-two thousand, three hundred twenty".