76796800 has 96 divisors (see below), whose sum is σ = 192376080. Its totient is φ = 30289920.

The previous prime is 76796791. The next prime is 76796801. The reversal of 76796800 is 869767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76796801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 329484 + ... + 329716.

Almost surely, 2^76796800 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 76796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

76796800 is an abundant number, since it is smaller than the sum of its proper divisors (115579280).

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

76796800 is a wasteful number, since it uses less digits than its factorization.

76796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 76796800 is about 8763.3783439950. The cubic root of 76796800 is about 425.0575239323.

The spelling of 76796800 in words is "seventy-six million, seven hundred ninety-six thousand, eight hundred".