77912200890216 has 1152 divisors, whose sum is σ = 285601365504000. Its totient is φ = 19454506283520.

The previous prime is 77912200890211. The next prime is 77912200890233. The reversal of 77912200890216 is 61209800221977.

It is a super-2 number, since 2×77912200890216² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77912200890211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11412359395 + ... + 11412366221.

It is an arithmetic number, because the mean of its divisors is an integer number (247917852000).

Almost surely, 2^{77912200890216} 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 77912200890216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800682752000).

77912200890216 is an abundant number, since it is smaller than the sum of its proper divisors (207689164613784).

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

77912200890216 is a wasteful number, since it uses less digits than its factorization.

77912200890216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 77912200890216 in words is "seventy-seven trillion, nine hundred twelve billion, two hundred million, eight hundred ninety thousand, two hundred sixteen".