77083643520 has 896 divisors, whose sum is σ = 303420297600. Its totient is φ = 18602680320.

The previous prime is 77083643501. The next prime is 77083643531. The reversal of 77083643520 is 2534638077.

77083643520 is a `hidden beast` number, since 7 + 7 + 0 + 83 + 6 + 43 + 520 = 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 111 ways as a sum of consecutive naturals, for example, 430634791 + ... + 430634969.

It is an arithmetic number, because the mean of its divisors is an integer number (338638725).

Almost surely, 2^77083643520 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 77083643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151710148800).

77083643520 is an abundant number, since it is smaller than the sum of its proper divisors (226336654080).

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

77083643520 is a wasteful number, since it uses less digits than its factorization.

77083643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

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

The spelling of 77083643520 in words is "seventy-seven billion, eighty-three million, six hundred forty-three thousand, five hundred twenty".