9077224320 has 384 divisors, whose sum is σ = 32611962240. Its totient is φ = 2324754432.

The previous prime is 9077224279. The next prime is 9077224327. The reversal of 9077224320 is 234227709.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9077224327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16594287 + ... + 16594833.

It is an arithmetic number, because the mean of its divisors is an integer number (84926985).

Almost surely, 2^9077224320 is an apocalyptic number.

9077224320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9077224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16305981120).

9077224320 is an abundant number, since it is smaller than the sum of its proper divisors (23534737920).

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

9077224320 is a wasteful number, since it uses less digits than its factorization.

9077224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 9077224320 is about 95274.4683532792. The cubic root of 9077224320 is about 2086.0162600956.

It can be divided in two parts, 907 and 7224320, that added together give a palindrome (7225227).

The spelling of 9077224320 in words is "nine billion, seventy-seven million, two hundred twenty-four thousand, three hundred twenty".