77820873564996 has 243 divisors, whose sum is σ = 205173617003901. Its totient is φ = 24870176480448.

The previous prime is 77820873564989. The next prime is 77820873565007. The reversal of 77820873564996 is 69946537802877.

It is a happy number.

The square root of 77820873564996 is 8821614.

It is a perfect power (a square), and thus also a powerful number.

77820873564996 is a `hidden beast` number, since 7 + 7 + 8 + 2 + 0 + 8 + 73 + 56 + 499 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69635186352900 + 8185687212096 = 8344770^2 + 2861064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 154713466081 + ... + 154713466583.

Almost surely, 2^{77820873564996} is an apocalyptic number.

77820873564996 is the 8821614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77820873564996

77820873564996 is an abundant number, since it is smaller than the sum of its proper divisors (127352743438905).

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

77820873564996 is an equidigital number, since it uses as much as digits as its factorization.

77820873564996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 77820873564996 in words is "seventy-seven trillion, eight hundred twenty billion, eight hundred seventy-three million, five hundred sixty-four thousand, nine hundred ninety-six".