76278400 has 144 divisors (see below), whose sum is σ = 208170270. Its totient is φ = 27596800.

The previous prime is 76278347. The next prime is 76278403. The reversal of 76278400 is 487267.

It can be written as a sum of positive squares in 3 ways, for example, as 72863296 + 3415104 = 8536^2 + 1848^2 .

It is not an unprimeable number, because it can be changed into a prime (76278403) 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 17 ways as a sum of consecutive naturals, for example, 387102 + ... + 387298.

Almost surely, 2^76278400 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 76278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104085135).

76278400 is an abundant number, since it is smaller than the sum of its proper divisors (131891870).

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

76278400 is a wasteful number, since it uses less digits than its factorization.

76278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 76278400 is about 8733.7506261629. The cubic root of 76278400 is about 424.0989445127.

The spelling of 76278400 in words is "seventy-six million, two hundred seventy-eight thousand, four hundred".