77823774720 has 312 divisors, whose sum is σ = 273059894016. Its totient is φ = 20498939904.

The previous prime is 77823774697. The next prime is 77823774733. The reversal of 77823774720 is 2747732877.

It is a super-2 number, since 2×77823774720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15296017 + ... + 15301103.

It is an arithmetic number, because the mean of its divisors is an integer number (875191968).

Almost surely, 2^77823774720 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 77823774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136529947008).

77823774720 is an abundant number, since it is smaller than the sum of its proper divisors (195236119296).

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

77823774720 is a wasteful number, since it uses less digits than its factorization.

77823774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 77823774720 in words is "seventy-seven billion, eight hundred twenty-three million, seven hundred seventy-four thousand, seven hundred twenty".