77899216516992 has 480 divisors, whose sum is σ = 251600562904680. Its totient is φ = 23914645327872.

The previous prime is 77899216516987. The next prime is 77899216516999. The reversal of 77899216516992 is 29961561299877.

77899216516992 is a `hidden beast` number, since 7 + 7 + 8 + 9 + 9 + 2 + 1 + 6 + 516 + 9 + 92 = 666.

It is a super-2 number, since 2×77899216516992² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77899216516999) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 776170878 + ... + 776271234.

Almost surely, 2^{77899216516992} is an apocalyptic number.

77899216516992 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 77899216516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125800281452340).

77899216516992 is an abundant number, since it is smaller than the sum of its proper divisors (173701346387688).

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

77899216516992 is a wasteful number, since it uses less digits than its factorization.

77899216516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100852 (or 100818 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 81.

The spelling of 77899216516992 in words is "seventy-seven trillion, eight hundred ninety-nine billion, two hundred sixteen million, five hundred sixteen thousand, nine hundred ninety-two".