77330833120 has 96 divisors (see below), whose sum is σ = 184125765600. Its totient is φ = 30690416640.

The previous prime is 77330833103. The next prime is 77330833141. The reversal of 77330833120 is 2133803377.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77330833120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38452915 + ... + 38454925.

It is an arithmetic number, because the mean of its divisors is an integer number (1917976725).

Almost surely, 2^77330833120 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 77330833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92062882800).

77330833120 is an abundant number, since it is smaller than the sum of its proper divisors (106794932480).

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

77330833120 is a wasteful number, since it uses less digits than its factorization.

77330833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 77330833120 in words is "seventy-seven billion, three hundred thirty million, eight hundred thirty-three thousand, one hundred twenty".