76334400 has 420 divisors, whose sum is σ = 304881280. Its totient is φ = 18662400.

The previous prime is 76334389. The next prime is 76334413. The reversal of 76334400 is 443367.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462385 + ... + 2462415.

Almost surely, 2^76334400 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 76334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152440640).

76334400 is an abundant number, since it is smaller than the sum of its proper divisors (228546880).

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

76334400 is a wasteful number, since it uses less digits than its factorization.

76334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

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

The square root of 76334400 is about 8736.9559916483. The cubic root of 76334400 is about 424.2027035993.

Adding to 76334400 its reverse (443367), we get a palindrome (76777767).

The spelling of 76334400 in words is "seventy-six million, three hundred thirty-four thousand, four hundred".