77009786700 has 432 divisors, whose sum is σ = 288800515584. Its totient is φ = 15660019200.

The previous prime is 77009786699. The next prime is 77009786717. The reversal of 77009786700 is 768790077.

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 143 ways as a sum of consecutive naturals, for example, 7594834 + ... + 7604966.

It is an arithmetic number, because the mean of its divisors is an integer number (668519712).

Almost surely, 2^77009786700 is an apocalyptic number.

77009786700 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 77009786700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144400257792).

77009786700 is an abundant number, since it is smaller than the sum of its proper divisors (211790728884).

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

77009786700 is a wasteful number, since it uses less digits than its factorization.

77009786700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The spelling of 77009786700 in words is "seventy-seven billion, nine million, seven hundred eighty-six thousand, seven hundred".