76566400 has 96 divisors (see below), whose sum is σ = 192376080. Its totient is φ = 30105600.

The previous prime is 76566377. The next prime is 76566437. The reversal of 76566400 is 466567.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227032 + ... + 227368.

Almost surely, 2^76566400 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 76566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

76566400 is an abundant number, since it is smaller than the sum of its proper divisors (115809680).

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

76566400 is a wasteful number, since it uses less digits than its factorization.

76566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 76566400 is about 8750.2228543049. Note that the first 3 decimals coincide. The cubic root of 76566400 is about 424.6320228940.

The spelling of 76566400 in words is "seventy-six million, five hundred sixty-six thousand, four hundred".