77840352000 has 720 divisors, whose sum is σ = 295156461600. Its totient is φ = 20365516800.

The previous prime is 77840351993. The next prime is 77840352017. The reversal of 77840352000 is 25304877.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 152927746 + ... + 152928254.

It is an arithmetic number, because the mean of its divisors is an integer number (409939530).

Almost surely, 2^77840352000 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 77840352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147578230800).

77840352000 is an abundant number, since it is smaller than the sum of its proper divisors (217316109600).

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

77840352000 is an equidigital number, since it uses as much as digits as its factorization.

77840352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 77840352000 its reverse (25304877), we get a palindrome (77865656877).

The spelling of 77840352000 in words is "seventy-seven billion, eight hundred forty million, three hundred fifty-two thousand".