77223520 has 192 divisors, whose sum is σ = 220449600. Its totient is φ = 25231360.

The previous prime is 77223481. The next prime is 77223521. The reversal of 77223520 is 2532277.

77223520 = T₇₀ + T₇₁ + ... + T₇₇₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77223521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867636 + ... + 867724.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^77223520 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 77223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110224800).

77223520 is an abundant number, since it is smaller than the sum of its proper divisors (143226080).

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

77223520 is a wasteful number, since it uses less digits than its factorization.

77223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 77223520 is about 8787.6913919413. The cubic root of 77223520 is about 425.8433450166.

Adding to 77223520 its reverse (2532277), we get a palindrome (79755797).

The spelling of 77223520 in words is "seventy-seven million, two hundred twenty-three thousand, five hundred twenty".