77224320 has 256 divisors, whose sum is σ = 282744000. Its totient is φ = 19906560.

The previous prime is 77224289. The next prime is 77224331. The reversal of 77224320 is 2342277.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708426 + ... + 708534.

Almost surely, 2^77224320 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 77224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

77224320 is an abundant number, since it is smaller than the sum of its proper divisors (205519680).

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

77224320 is a wasteful number, since it uses less digits than its factorization.

77224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 77224320 is about 8787.7369100355. The cubic root of 77224320 is about 425.8448155250.

Adding to 77224320 its reverse (2342277), we get a palindrome (79566597).

The spelling of 77224320 in words is "seventy-seven million, two hundred twenty-four thousand, three hundred twenty".