77083113600 has 1152 divisors, whose sum is σ = 309651498000. Its totient is φ = 18166579200.

The previous prime is 77083113577. The next prime is 77083113637. The reversal of 77083113600 is 631138077.

77083113600 is a `hidden beast` number, since 7 + 7 + 0 + 8 + 31 + 13 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 14579113536 + 62504000064 = 120744^2 + 250008^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 866102356 + ... + 866102444.

Almost surely, 2^77083113600 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 77083113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154825749000).

77083113600 is an abundant number, since it is smaller than the sum of its proper divisors (232568384400).

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

77083113600 is a wasteful number, since it uses less digits than its factorization.

77083113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 77083113600 in words is "seventy-seven billion, eighty-three million, one hundred thirteen thousand, six hundred".