77201812224 has 216 divisors, whose sum is σ = 243816168960. Its totient is φ = 23384653824.

The previous prime is 77201812201. The next prime is 77201812229. The reversal of 77201812224 is 42221810277.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77201812229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101889 + ... + 1169855.

It is an arithmetic number, because the mean of its divisors is an integer number (1128778560).

Almost surely, 2^77201812224 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 77201812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121908084480).

77201812224 is an abundant number, since it is smaller than the sum of its proper divisors (166614356736).

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

77201812224 is a wasteful number, since it uses less digits than its factorization.

77201812224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68035 (or 68018 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 77201812224 in words is "seventy-seven billion, two hundred one million, eight hundred twelve thousand, two hundred twenty-four".