76006800 has 180 divisors, whose sum is σ = 270448464. Its totient is φ = 19756800.

The previous prime is 76006781. The next prime is 76006817. The reversal of 76006800 is 860067.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 154555 + ... + 155045.

Almost surely, 2^76006800 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 76006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135224232).

76006800 is an abundant number, since it is smaller than the sum of its proper divisors (194441664).

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

76006800 is a wasteful number, since it uses less digits than its factorization.

76006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76006800 is about 8718.1878851055. The cubic root of 76006800 is about 423.5949912068.

Adding to 76006800 its reverse (860067), we get a palindrome (76866867).

It can be divided in two parts, 7600 and 6800, that added together give a square (14400 = 120²).

The spelling of 76006800 in words is "seventy-six million, six thousand, eight hundred".