77324833152 has 192 divisors, whose sum is σ = 259709299200. Its totient is φ = 21622643712.

The previous prime is 77324833123. The next prime is 77324833231. The reversal of 77324833152 is 25133842377.

It is a happy number.

77324833152 is a `hidden beast` number, since 7 + 7 + 324 + 8 + 3 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 77324833098 and 77324833107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276999 + ... + 481017.

It is an arithmetic number, because the mean of its divisors is an integer number (1352652600).

Almost surely, 2^77324833152 is an apocalyptic number.

77324833152 is a gapful number since it is divisible by the number (72) 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 77324833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129854649600).

77324833152 is an abundant number, since it is smaller than the sum of its proper divisors (182384466048).

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

77324833152 is a wasteful number, since it uses less digits than its factorization.

77324833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204093 (or 204078 counting only the distinct ones).

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

The spelling of 77324833152 in words is "seventy-seven billion, three hundred twenty-four million, eight hundred thirty-three thousand, one hundred fifty-two".