77828044320 has 192 divisors, whose sum is σ = 293352071040. Its totient is φ = 19157658624.

The previous prime is 77828044277. The next prime is 77828044337. The reversal of 77828044320 is 2344082877.

77828044320 is a `hidden beast` number, since 7 + 7 + 8 + 280 + 44 + 320 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636754 + ... + 749073.

It is an arithmetic number, because the mean of its divisors is an integer number (1527875370).

Almost surely, 2^77828044320 is an apocalyptic number.

It is an amenable number.

77828044320 is an abundant number, since it is smaller than the sum of its proper divisors (215524026720).

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

77828044320 is a wasteful number, since it uses less digits than its factorization.

77828044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385864 (or 1385850 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 77828044320 in words is "seventy-seven billion, eight hundred twenty-eight million, forty-four thousand, three hundred twenty".