77928609024000 has 864 divisors, whose sum is σ = 326750086517400. Its totient is φ = 17812227686400.

The previous prime is 77928609023989. The next prime is 77928609024053. The reversal of 77928609024000 is 42090682977.

77928609024000 is a `hidden beast` number, since 7 + 7 + 9 + 2 + 8 + 609 + 0 + 24 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49380190626816 + 28548418397184 = 7027104^2 + 5343072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112550866 + ... + 113241134.

Almost surely, 2^{77928609024000} is an apocalyptic number.

77928609024000 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 77928609024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163375043258700).

77928609024000 is an abundant number, since it is smaller than the sum of its proper divisors (248821477493400).

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

77928609024000 is a wasteful number, since it uses less digits than its factorization.

77928609024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690326 (or 690286 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 77928609024000 in words is "seventy-seven trillion, nine hundred twenty-eight billion, six hundred nine million, twenty-four thousand".