76766400 has 168 divisors, whose sum is σ = 279999440. Its totient is φ = 20459520.

The previous prime is 76766399. The next prime is 76766423. The reversal of 76766400 is 466767.

76766400 is a `hidden beast` number, since 7 + 6 + 7 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42312 + ... + 44088.

Almost surely, 2^76766400 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 76766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139999720).

76766400 is an abundant number, since it is smaller than the sum of its proper divisors (203233040).

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

76766400 is a wasteful number, since it uses less digits than its factorization.

76766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76766400 is about 8761.6436814105. The cubic root of 76766400 is about 425.0014302143.

The spelling of 76766400 in words is "seventy-six million, seven hundred sixty-six thousand, four hundred".