76550400 has 216 divisors, whose sum is σ = 281336160. Its totient is φ = 20367360.

The previous prime is 76550399. The next prime is 76550429. The reversal of 76550400 is 405567.

76550400 is a `hidden beast` number, since 7 + 655 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172579 + ... + 173021.

Almost surely, 2^76550400 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 76550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140668080).

76550400 is an abundant number, since it is smaller than the sum of its proper divisors (204785760).

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

76550400 is a wasteful number, since it uses less digits than its factorization.

76550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 76550400 is about 8749.3085441079. The cubic root of 76550400 is about 424.6024425312.

Adding to 76550400 its reverse (405567), we get a palindrome (76955967).

The spelling of 76550400 in words is "seventy-six million, five hundred fifty thousand, four hundred".