77224265545728 has 384 divisors, whose sum is σ = 237610942732800. Its totient is φ = 21846895755264.

The previous prime is 77224265545667. The next prime is 77224265545729. The reversal of 77224265545728 is 82754556242277.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×77224265545728² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77224265545729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14859390426 + ... + 14859395622.

It is an arithmetic number, because the mean of its divisors is an integer number (618778496700).

Almost surely, 2^{77224265545728} 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 77224265545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118805471366400).

77224265545728 is an abundant number, since it is smaller than the sum of its proper divisors (160386677187072).

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

77224265545728 is a wasteful number, since it uses less digits than its factorization.

77224265545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8545 counting only the distinct ones).

The product of its digits is 526848000, while the sum is 66.

The spelling of 77224265545728 in words is "seventy-seven trillion, two hundred twenty-four billion, two hundred sixty-five million, five hundred forty-five thousand, seven hundred twenty-eight".