77052320326800 has 1080 divisors, whose sum is σ = 335331847346496. Its totient is φ = 16239913482240.

The previous prime is 77052320326799. The next prime is 77052320326879. The reversal of 77052320326800 is 862302325077.

77052320326800 is a `hidden beast` number, since 7 + 7 + 0 + 523 + 20 + 3 + 26 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2217507027 + ... + 2217541773.

Almost surely, 2^{77052320326800} is an apocalyptic number.

77052320326800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77052320326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167665923673248).

77052320326800 is an abundant number, since it is smaller than the sum of its proper divisors (258279527019696).

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

77052320326800 is a wasteful number, since it uses less digits than its factorization.

77052320326800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35765 (or 35744 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 77052320326800 in words is "seventy-seven trillion, fifty-two billion, three hundred twenty million, three hundred twenty-six thousand, eight hundred".