76228400 has 60 divisors (see below), whose sum is σ = 184512000. Its totient is φ = 30263040.

The previous prime is 76228393. The next prime is 76228409. The reversal of 76228400 is 482267.

It is not an unprimeable number, because it can be changed into a prime (76228409) 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 11 ways as a sum of consecutive naturals, for example, 58961 + ... + 60239.

It is an arithmetic number, because the mean of its divisors is an integer number (3075200).

Almost surely, 2^76228400 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 76228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256000).

76228400 is an abundant number, since it is smaller than the sum of its proper divisors (108283600).

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

76228400 is a wasteful number, since it uses less digits than its factorization.

76228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 76228400 is about 8730.8876982813. The cubic root of 76228400 is about 424.0062595492.

The spelling of 76228400 in words is "seventy-six million, two hundred twenty-eight thousand, four hundred".